72969624 has 288 divisors, whose sum is σ = 260179920. Its totient is φ = 18289152.

The previous prime is 72969623. The next prime is 72969653. The reversal of 72969624 is 42696927.

It is a nude number because it is divisible by every one of its digits.

It is a nialpdrome in base 14.

It is a zygodrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 72969624.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72969623) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 1696947 + ... + 1696989.

Almost surely, 2^72969624 is an apocalyptic number.

72969624 is a gapful number since it is divisible by the number (74) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72969624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130089960).

72969624 is an abundant number, since it is smaller than the sum of its proper divisors (187210296).

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

72969624 is a wasteful number, since it uses less digits than its factorization.

72969624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 105 counting only the distinct ones).

The product of its digits is 326592, while the sum is 45.

The square root of 72969624 is about 8542.2259394142. The cubic root of 72969624 is about 417.8759428253.

The spelling of 72969624 in words is "seventy-two million, nine hundred sixty-nine thousand, six hundred twenty-four".