72814633632 has 72 divisors (see below), whose sum is σ = 222994826964. Its totient is φ = 22404501504.

The previous prime is 72814633589. The next prime is 72814633643. The reversal of 72814633632 is 23633641827.

72814633632 is a `hidden beast` number, since 7 + 2 + 8 + 1 + 4 + 6 + 3 + 3 + 632 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 72401893776 + 412739856 = 269076^2 + 20316^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×72814633632² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9720433 + ... + 9727920.

Almost surely, 2^72814633632 is an apocalyptic number.

72814633632 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

72814633632 is an abundant number, since it is smaller than the sum of its proper divisors (150180193332).

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

72814633632 is a wasteful number, since it uses less digits than its factorization.

72814633632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19448382 (or 19448371 counting only the distinct ones).

The product of its digits is 870912, while the sum is 45.

The spelling of 72814633632 in words is "seventy-two billion, eight hundred fourteen million, six hundred thirty-three thousand, six hundred thirty-two".