72058368 has 80 divisors (see below), whose sum is σ = 196612416. Its totient is φ = 23439360.

The previous prime is 72058339. The next prime is 72058381. The reversal of 72058368 is 86385027.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 65503 + ... + 66593.

Almost surely, 2^72058368 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 72058368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98306208).

72058368 is an abundant number, since it is smaller than the sum of its proper divisors (124554048).

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

72058368 is a wasteful number, since it uses less digits than its factorization.

72058368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1155 (or 1139 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The square root of 72058368 is about 8488.7200448595. The cubic root of 72058368 is about 416.1291512211.

The spelling of 72058368 in words is "seventy-two million, fifty-eight thousand, three hundred sixty-eight".