72347424 has 24 divisors (see below), whose sum is σ = 189912240. Its totient is φ = 24115776.

The previous prime is 72347419. The next prime is 72347441. The reversal of 72347424 is 42474327.

It is a tau number, because it is divible by the number of its divisors (24).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 376714 + ... + 376905.

It is an arithmetic number, because the mean of its divisors is an integer number (7913010).

Almost surely, 2^72347424 is an apocalyptic number.

It is an amenable number.

72347424 is an abundant number, since it is smaller than the sum of its proper divisors (117564816).

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

72347424 is a wasteful number, since it uses less digits than its factorization.

72347424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 753632 (or 753624 counting only the distinct ones).

The product of its digits is 37632, while the sum is 33.

The square root of 72347424 is about 8505.7288929286. The cubic root of 72347424 is about 416.6848310659.

It can be divided in two parts, 72347 and 424, that added together give a triangular number (72771 = T₃₈₁).

The spelling of 72347424 in words is "seventy-two million, three hundred forty-seven thousand, four hundred twenty-four".