72629745075810 has 192 divisors, whose sum is σ = 208886314710528. Its totient is φ = 17392673797632.

The previous prime is 72629745075803. The next prime is 72629745075851. The reversal of 72629745075810 is 1857054792627.

72629745075810 is a `hidden beast` number, since 7 + 2 + 6 + 2 + 9 + 7 + 45 + 0 + 7 + 581 + 0 = 666.

It is a super-2 number, since 2×72629745075810² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 351541399 + ... + 351747941.

It is an arithmetic number, because the mean of its divisors is an integer number (1087949555784).

Almost surely, 2^{72629745075810} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72629745075810, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104443157355264).

72629745075810 is an abundant number, since it is smaller than the sum of its proper divisors (136256569634718).

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

72629745075810 is a wasteful number, since it uses less digits than its factorization.

72629745075810 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214729 (or 214726 counting only the distinct ones).

The product of its (nonzero) digits is 59270400, while the sum is 63.

The spelling of 72629745075810 in words is "seventy-two trillion, six hundred twenty-nine billion, seven hundred forty-five million, seventy-five thousand, eight hundred ten".