72858432 has 56 divisors (see below), whose sum is σ = 199005952. Its totient is φ = 23500800.

The previous prime is 72858421. The next prime is 72858437. The reversal of 72858432 is 23485827.

It is a super-2 number, since 2×72858432² = 10616702226997248, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72858437) 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 7 ways as a sum of consecutive naturals, for example, 169 + ... + 12072.

Almost surely, 2^72858432 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 72858432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99502976).

72858432 is an abundant number, since it is smaller than the sum of its proper divisors (126147520).

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

72858432 is a wasteful number, since it uses less digits than its factorization.

72858432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12287 (or 12277 counting only the distinct ones).

The product of its digits is 107520, while the sum is 39.

The square root of 72858432 is about 8535.7150842797. The cubic root of 72858432 is about 417.6635801081.

The spelling of 72858432 in words is "seventy-two million, eight hundred fifty-eight thousand, four hundred thirty-two".