72546632 has 16 divisors (see below), whose sum is σ = 140715900. Its totient is φ = 35022400.

The previous prime is 72546611. The next prime is 72546673. The reversal of 72546632 is 23664527.

It can be written as a sum of positive squares in 2 ways, for example, as 68989636 + 3556996 = 8306^2 + 1886^2 .

It is a junction number, because it is equal to n+sod(n) for n = 72546592 and 72546601.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 156119 + ... + 156582.

Almost surely, 2^72546632 is an apocalyptic number.

It is an amenable number.

72546632 is a deficient number, since it is larger than the sum of its proper divisors (68169268).

72546632 is a wasteful number, since it uses less digits than its factorization.

72546632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312736 (or 312732 counting only the distinct ones).

The product of its digits is 60480, while the sum is 35.

The square root of 72546632 is about 8517.4310681097. The cubic root of 72546632 is about 417.0669265954.

The spelling of 72546632 in words is "seventy-two million, five hundred forty-six thousand, six hundred thirty-two".