72764240 has 40 divisors (see below), whose sum is σ = 169629768. Its totient is φ = 29027840.

The previous prime is 72764239. The next prime is 72764261. The reversal of 72764240 is 4246727.

It can be written as a sum of positive squares in 4 ways, for example, as 446224 + 72318016 = 668^2 + 8504^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 72764197 and 72764206.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35894 + ... + 37866.

Almost surely, 2^72764240 is an apocalyptic number.

It is an amenable number.

72764240 is an abundant number, since it is smaller than the sum of its proper divisors (96865528).

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

72764240 is a wasteful number, since it uses less digits than its factorization.

72764240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2447 (or 2441 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 32.

The square root of 72764240 is about 8530.1957773547. The cubic root of 72764240 is about 417.4835161479.

The spelling of 72764240 in words is "seventy-two million, seven hundred sixty-four thousand, two hundred forty".