72646204032 has 48 divisors (see below), whose sum is σ = 209047022730. Its totient is φ = 24215400960.

The previous prime is 72646204009. The next prime is 72646204049. The reversal of 72646204032 is 23040264627.

72646204032 is a `hidden beast` number, since 7 + 2 + 646 + 2 + 0 + 4 + 0 + 3 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 57611520576 + 15034683456 = 240024^2 + 122616^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 31529319 + ... + 31531622.

Almost surely, 2^72646204032 is an apocalyptic number.

72646204032 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

72646204032 is an abundant number, since it is smaller than the sum of its proper divisors (136400818698).

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

72646204032 is a wasteful number, since it uses less digits than its factorization.

72646204032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63060961 (or 63060946 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

Adding to 72646204032 its reverse (23040264627), we get a palindrome (95686468659).

The spelling of 72646204032 in words is "seventy-two billion, six hundred forty-six million, two hundred four thousand, thirty-two".