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72639402 = 231117101641
BaseRepresentation
bin1000101010001…
…10001110101010
312001200110112020
410111012032222
5122043430102
611112525310
71541265453
oct425061652
9161613466
1072639402
1138004070
12203b0836
1312083cc4
14990c12a
15659cbbc
hex45463aa

72639402 has 64 divisors (see below), whose sum is σ = 169734528. Its totient is φ = 20480000.

The previous prime is 72639379. The next prime is 72639407. The reversal of 72639402 is 20493627.

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 (72639407) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 113002 + ... + 113642.

It is an arithmetic number, because the mean of its divisors is an integer number (2652102).

Almost surely, 272639402 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72639402, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84867264).

72639402 is an abundant number, since it is smaller than the sum of its proper divisors (97095126).

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

72639402 is a wasteful number, since it uses less digits than its factorization.

72639402 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 775.

The product of its (nonzero) digits is 18144, while the sum is 33.

The square root of 72639402 is about 8522.8752190795. The cubic root of 72639402 is about 417.2446275540.

The spelling of 72639402 in words is "seventy-two million, six hundred thirty-nine thousand, four hundred two".

Divisors: 1 2 3 6 11 17 22 33 34 51 66 101 102 187 202 303 374 561 606 641 1111 1122 1282 1717 1923 2222 3333 3434 3846 5151 6666 7051 10302 10897 14102 18887 21153 21794 32691 37774 42306 56661 64741 65382 113322 119867 129482 194223 239734 359601 388446 712151 719202 1100597 1424302 2136453 2201194 3301791 4272906 6603582 12106567 24213134 36319701 72639402