72810634 has 16 divisors (see below), whose sum is σ = 118372968. Its totient is φ = 33388992.

The previous prime is 72810631. The next prime is 72810649. The reversal of 72810634 is 43601827.

It can be written as a sum of positive squares in 4 ways, for example, as 56205009 + 16605625 = 7497^2 + 4075^2 .

It is a junction number, because it is equal to n+sod(n) for n = 72810596 and 72810605.

It is not an unprimeable number, because it can be changed into a prime (72810631) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4837 + ... + 13000.

Almost surely, 2^72810634 is an apocalyptic number.

72810634 is a deficient number, since it is larger than the sum of its proper divisors (45562334).

72810634 is a wasteful number, since it uses less digits than its factorization.

72810634 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18009.

The product of its (nonzero) digits is 8064, while the sum is 31.

The square root of 72810634 is about 8532.9147423375. The cubic root of 72810634 is about 417.5722255435.

The spelling of 72810634 in words is "seventy-two million, eight hundred ten thousand, six hundred thirty-four".