72639585768996 has 81 divisors (see below), whose sum is σ = 187612799366811. Its totient is φ = 23697236783664.

The previous prime is 72639585768979. The next prime is 72639585769013. The reversal of 72639585768996 is 69986758593627.

The square root of 72639585768996 is 8522886.

It is a perfect power (a square), and thus also a powerful number.

72639585768996 is a `hidden beast` number, since 7 + 2 + 6 + 395 + 8 + 57 + 6 + 89 + 96 = 666.

It is an interprime number because it is at equal distance from previous prime (72639585768979) and next prime (72639585769013).

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2403438741 + ... + 2403468963.

Almost surely, 2^{72639585768996} is an apocalyptic number.

72639585768996 is the 8522886-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72639585768996

72639585768996 is an abundant number, since it is smaller than the sum of its proper divisors (114973213597815).

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

72639585768996 is an frugal number, since it uses more digits than its factorization.

72639585768996 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60550 (or 30275 counting only the distinct ones).

The product of its digits is 74071065600, while the sum is 90.

The spelling of 72639585768996 in words is "seventy-two trillion, six hundred thirty-nine billion, five hundred eighty-five million, seven hundred sixty-eight thousand, nine hundred ninety-six".