72916261632 has 108 divisors (see below), whose sum is σ = 217017562944. Its totient is φ = 23521351680.

The previous prime is 72916261577. The next prime is 72916261633. The reversal of 72916261632 is 23616261927.

72916261632 is a `hidden beast` number, since 7 + 2 + 9 + 1 + 6 + 2 + 6 + 1 + 632 = 666.

It is a super-3 number, since 3×72916261632³ (a number of 34 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (72916261633) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 439023 + ... + 581870.

Almost surely, 2^72916261632 is an apocalyptic number.

72916261632 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

72916261632 is an abundant number, since it is smaller than the sum of its proper divisors (144101301312).

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

72916261632 is a wasteful number, since it uses less digits than its factorization.

72916261632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1020946 (or 1020929 counting only the distinct ones).

The product of its digits is 326592, while the sum is 45.

The spelling of 72916261632 in words is "seventy-two billion, nine hundred sixteen million, two hundred sixty-one thousand, six hundred thirty-two".