72129677225760 has 768 divisors, whose sum is σ = 314878547128320. Its totient is φ = 14981753364480.

The previous prime is 72129677225759. The next prime is 72129677225789. The reversal of 72129677225760 is 6752277692127.

It is a happy number.

72129677225760 is a `hidden beast` number, since 7 + 21 + 296 + 7 + 72 + 257 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 822574879 + ... + 822662561.

It is an arithmetic number, because the mean of its divisors is an integer number (409998108240).

Almost surely, 2^{72129677225760} is an apocalyptic number.

72129677225760 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72129677225760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157439273564160).

72129677225760 is an abundant number, since it is smaller than the sum of its proper divisors (242748869902560).

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

72129677225760 is a wasteful number, since it uses less digits than its factorization.

72129677225760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90198 (or 90184 counting only the distinct ones).

The product of its (nonzero) digits is 62233920, while the sum is 63.

The spelling of 72129677225760 in words is "seventy-two trillion, one hundred twenty-nine billion, six hundred seventy-seven million, two hundred twenty-five thousand, seven hundred sixty".