72967252 has 6 divisors (see below), whose sum is σ = 127692698. Its totient is φ = 36483624.

The previous prime is 72967241. The next prime is 72967253. The reversal of 72967252 is 25276927.

It can be written as a sum of positive squares in only one way, i.e., 72692676 + 274576 = 8526^2 + 524^2 .

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72967253) by changing a digit.

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, 9120903 + ... + 9120910.

Almost surely, 2^72967252 is an apocalyptic number.

It is an amenable number.

72967252 is a deficient number, since it is larger than the sum of its proper divisors (54725446).

72967252 is a wasteful number, since it uses less digits than its factorization.

72967252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18241817 (or 18241815 counting only the distinct ones).

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

The square root of 72967252 is about 8542.0870985960. The cubic root of 72967252 is about 417.8714148568.

The spelling of 72967252 in words is "seventy-two million, nine hundred sixty-seven thousand, two hundred fifty-two".