72529696512 has 1620 divisors, whose sum is σ = 302954587320. Its totient is φ = 17055940608.

The previous prime is 72529696489. The next prime is 72529696513. The reversal of 72529696512 is 21569692527.

72529696512 is a `hidden beast` number, since 7 + 2 + 529 + 69 + 6 + 51 + 2 = 666.

It is a super-2 number, since 2×72529696512² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (4082400) is a multiple of the sum of its prime factors (108).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72529696513) by changing a digit.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 3817352439 + ... + 3817352457.

Almost surely, 2^72529696512 is an apocalyptic number.

72529696512 is a gapful number since it is divisible by the number (72) 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 72529696512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151477293660).

72529696512 is an abundant number, since it is smaller than the sum of its proper divisors (230424890808).

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

72529696512 is a wasteful number, since it uses less digits than its factorization.

72529696512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 61 counting only the distinct ones).

The product of its digits is 4082400, while the sum is 54.

The spelling of 72529696512 in words is "seventy-two billion, five hundred twenty-nine million, six hundred ninety-six thousand, five hundred twelve".