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72190422 = 23223414253
BaseRepresentation
bin1000100110110…
…00100111010110
312000211122122100
410103120213112
5121440043142
611055142530
71534415463
oct423304726
9160748570
1072190422
1137827807
1220214a46
1311c57835
14983266a
15650eb4c
hex44d89d6

72190422 has 48 divisors (see below), whose sum is σ = 167233248. Its totient is φ = 22450560.

The previous prime is 72190411. The next prime is 72190427. The reversal of 72190422 is 22409127.

It is a super-2 number, since 2×721904222 = 10422914057076168, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72190427) 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 23 ways as a sum of consecutive naturals, for example, 14848 + ... + 19100.

It is an arithmetic number, because the mean of its divisors is an integer number (3484026).

Almost surely, 272190422 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72190422, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83616624).

72190422 is an abundant number, since it is smaller than the sum of its proper divisors (95042826).

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

72190422 is a wasteful number, since it uses less digits than its factorization.

72190422 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4325 (or 4322 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 72190422 is about 8496.4946889879. The cubic root of 72190422 is about 416.3831952069.

Adding to 72190422 its reverse (22409127), we get a palindrome (94599549).

The spelling of 72190422 in words is "seventy-two million, one hundred ninety thousand, four hundred twenty-two".

Divisors: 1 2 3 6 9 18 23 41 46 69 82 123 138 207 246 369 414 738 943 1886 2829 4253 5658 8487 8506 12759 16974 25518 38277 76554 97819 174373 195638 293457 348746 523119 586914 880371 1046238 1569357 1760742 3138714 4010579 8021158 12031737 24063474 36095211 72190422