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72422394 = 23113747631
BaseRepresentation
bin1000101000100…
…01001111111010
312001021102211220
410110101033322
5122020004034
611104132510
71536403002
oct424211772
9161242756
1072422394
1137976020
1220307136
13120092b5
149893002
156558749
hex45113fa

72422394 has 64 divisors (see below), whose sum is σ = 165998592. Its totient is φ = 20865600.

The previous prime is 72422393. The next prime is 72422401. The reversal of 72422394 is 49322427.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (72422393) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 114459 + ... + 115089.

It is an arithmetic number, because the mean of its divisors is an integer number (2593728).

Almost surely, 272422394 is an apocalyptic number.

72422394 is a gapful number since it is divisible by the number (74) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 72422394, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82999296).

72422394 is an abundant number, since it is smaller than the sum of its proper divisors (93576198).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

72422394 is a wasteful number, since it uses less digits than its factorization.

72422394 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 731.

The product of its digits is 24192, while the sum is 33.

The square root of 72422394 is about 8510.1347815414. The cubic root of 72422394 is about 416.8287112294.

Adding to 72422394 its sum of digits (33), we get a palindrome (72422427).

The spelling of 72422394 in words is "seventy-two million, four hundred twenty-two thousand, three hundred ninety-four".

Divisors: 1 2 3 6 11 22 33 37 47 66 74 94 111 141 222 282 407 517 631 814 1034 1221 1262 1551 1739 1893 2442 3102 3478 3786 5217 6941 10434 13882 19129 20823 23347 29657 38258 41646 46694 57387 59314 70041 88971 114774 140082 177942 256817 326227 513634 652454 770451 978681 1097309 1540902 1957362 2194618 3291927 6583854 12070399 24140798 36211197 72422394