72124564 has 6 divisors (see below), whose sum is σ = 126217994. Its totient is φ = 36062280.

The previous prime is 72124561. The next prime is 72124567. The reversal of 72124564 is 46542127.

It is an interprime number because it is at equal distance from previous prime (72124561) and next prime (72124567).

It can be written as a sum of positive squares in only one way, i.e., 61496964 + 10627600 = 7842^2 + 3260^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72124561) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 9015567 + ... + 9015574.

Almost surely, 2^72124564 is an apocalyptic number.

It is an amenable number.

72124564 is a deficient number, since it is larger than the sum of its proper divisors (54093430).

72124564 is a wasteful number, since it uses less digits than its factorization.

72124564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18031145 (or 18031143 counting only the distinct ones).

The product of its digits is 13440, while the sum is 31.

The square root of 72124564 is about 8492.6182064190. The cubic root of 72124564 is about 416.2565370952.

The spelling of 72124564 in words is "seventy-two million, one hundred twenty-four thousand, five hundred sixty-four".