72633262752 has 36 divisors (see below), whose sum is σ = 206550841770. Its totient is φ = 24211087488.

The previous prime is 72633262727. The next prime is 72633262763. The reversal of 72633262752 is 25726233627.

72633262752 is a `hidden beast` number, since 7 + 2 + 633 + 2 + 6 + 2 + 7 + 5 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 69550348176 + 3082914576 = 263724^2 + 55524^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×72633262752² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 72633262698 and 72633262707.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 126099127 + ... + 126099702.

Almost surely, 2^72633262752 is an apocalyptic number.

72633262752 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

72633262752 is an abundant number, since it is smaller than the sum of its proper divisors (133917579018).

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

72633262752 is a wasteful number, since it uses less digits than its factorization.

72633262752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252198845 (or 252198834 counting only the distinct ones).

The product of its digits is 1270080, while the sum is 45.

The spelling of 72633262752 in words is "seventy-two billion, six hundred thirty-three million, two hundred sixty-two thousand, seven hundred fifty-two".