72868744 has 24 divisors (see below), whose sum is σ = 147950010. Its totient is φ = 33631104.

The previous prime is 72868729. The next prime is 72868751. The reversal of 72868744 is 44786827.

It can be written as a sum of positive squares in 3 ways, for example, as 45724644 + 27144100 = 6762^2 + 5210^2 .

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 72868694 and 72868703.

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, 25597 + ... + 28300.

Almost surely, 2^72868744 is an apocalyptic number.

It is an amenable number.

72868744 is an abundant number, since it is smaller than the sum of its proper divisors (75081266).

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

72868744 is a wasteful number, since it uses less digits than its factorization.

72868744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53929 (or 53912 counting only the distinct ones).

The product of its digits is 602112, while the sum is 46.

The square root of 72868744 is about 8536.3191130604. The cubic root of 72868744 is about 417.6832838154.

The spelling of 72868744 in words is "seventy-two million, eight hundred sixty-eight thousand, seven hundred forty-four".