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72412326 = 2337238329
BaseRepresentation
bin1000101000011…
…10110010100110
312001020221001000
410110032302212
5122014143301
611104014130
71536331440
oct424166246
9161227030
1072412326
11379694a8
1220301346
131200483c
14988d490
156555786
hex450eca6

72412326 has 64 divisors (see below), whose sum is σ = 191923200. Its totient is φ = 19787328.

The previous prime is 72412283. The next prime is 72412339. The reversal of 72412326 is 62321427.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 72412326.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4530 + ... + 12858.

It is an arithmetic number, because the mean of its divisors is an integer number (2998800).

Almost surely, 272412326 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72412326, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95961600).

72412326 is an abundant number, since it is smaller than the sum of its proper divisors (119510874).

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

72412326 is a wasteful number, since it uses less digits than its factorization.

72412326 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8370 (or 8364 counting only the distinct ones).

The product of its digits is 4032, while the sum is 27.

The square root of 72412326 is about 8509.5432309848. The cubic root of 72412326 is about 416.8093948010.

The spelling of 72412326 in words is "seventy-two million, four hundred twelve thousand, three hundred twenty-six".

Divisors: 1 2 3 6 7 9 14 18 21 23 27 42 46 54 63 69 126 138 161 189 207 322 378 414 483 621 966 1242 1449 2898 4347 8329 8694 16658 24987 49974 58303 74961 116606 149922 174909 191567 224883 349818 383134 449766 524727 574701 1049454 1149402 1340969 1574181 1724103 2681938 3148362 3448206 4022907 5172309 8045814 10344618 12068721 24137442 36206163 72412326