72691448294952 has 40 divisors (see below), whose sum is σ = 203603362124250. Its totient is φ = 24230482764768.

The previous prime is 72691448294923. The next prime is 72691448294977. The reversal of 72691448294952 is 25949284419627.

It is a happy number.

72691448294952 is a `hidden beast` number, since 7 + 2 + 6 + 9 + 1 + 4 + 482 + 94 + 9 + 52 = 666.

It can be written as a sum of positive squares in only one way, i.e., 58076379257796 + 14615069037156 = 7620786^2 + 3822966^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 56089079827 + ... + 56089081122.

Almost surely, 2^{72691448294952} is an apocalyptic number.

72691448294952 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

72691448294952 is an abundant number, since it is smaller than the sum of its proper divisors (130911913829298).

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

72691448294952 is a wasteful number, since it uses less digits than its factorization.

72691448294952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112178160967 (or 112178160954 counting only the distinct ones).

The product of its digits is 627056640, while the sum is 72.

The spelling of 72691448294952 in words is "seventy-two trillion, six hundred ninety-one billion, four hundred forty-eight million, two hundred ninety-four thousand, nine hundred fifty-two".