72967504 has 10 divisors (see below), whose sum is σ = 141374570. Its totient is φ = 36483744.

The previous prime is 72967493. The next prime is 72967511. The reversal of 72967504 is 40576927.

It can be written as a sum of positive squares in only one way, i.e., 65934400 + 7033104 = 8120^2 + 2652^2 .

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 as a sum of consecutive naturals, namely, 2280219 + ... + 2280250.

It is an arithmetic number, because the mean of its divisors is an integer number (14137457).

Almost surely, 2^72967504 is an apocalyptic number.

It is an amenable number.

72967504 is a deficient number, since it is larger than the sum of its proper divisors (68407066).

72967504 is a wasteful number, since it uses less digits than its factorization.

72967504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4560477 (or 4560471 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 40.

The square root of 72967504 is about 8542.1018490767. The cubic root of 72967504 is about 417.8718959104.

The spelling of 72967504 in words is "seventy-two million, nine hundred sixty-seven thousand, five hundred four".