72423624 has 64 divisors (see below), whose sum is σ = 222848640. Its totient is φ = 19100160.

The previous prime is 72423601. The next prime is 72423647. The reversal of 72423624 is 42632427.

It is an interprime number because it is at equal distance from previous prime (72423601) and next prime (72423647).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 72423591 and 72423600.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14397 + ... + 18764.

It is an arithmetic number, because the mean of its divisors is an integer number (3482010).

Almost surely, 2^72423624 is an apocalyptic number.

It is an amenable number.

72423624 is an abundant number, since it is smaller than the sum of its proper divisors (150425016).

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

72423624 is a wasteful number, since it uses less digits than its factorization.

72423624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33190 (or 33186 counting only the distinct ones).

The product of its digits is 16128, while the sum is 30.

The square root of 72423624 is about 8510.2070480101. The cubic root of 72423624 is about 416.8310709802.

The spelling of 72423624 in words is "seventy-two million, four hundred twenty-three thousand, six hundred twenty-four".