72089724 has 96 divisors (see below), whose sum is σ = 214341120. Its totient is φ = 18358272.

The previous prime is 72089723. The next prime is 72089729. The reversal of 72089724 is 42798027.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72089723) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25804 + ... + 28460.

It is an arithmetic number, because the mean of its divisors is an integer number (2232720).

Almost surely, 2^72089724 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72089724, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107170560).

72089724 is an abundant number, since it is smaller than the sum of its proper divisors (142251396).

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

72089724 is a wasteful number, since it uses less digits than its factorization.

72089724 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2707 (or 2705 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 39.

The square root of 72089724 is about 8490.5667655346. The cubic root of 72089724 is about 416.1895016188.

The spelling of 72089724 in words is "seventy-two million, eighty-nine thousand, seven hundred twenty-four".