72958368 has 96 divisors (see below), whose sum is σ = 220631040. Its totient is φ = 20678400.

The previous prime is 72958367. The next prime is 72958433. The reversal of 72958368 is 86385927.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×72958368² = 10645846922446848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (72958363) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 101113 + ... + 101831.

It is an arithmetic number, because the mean of its divisors is an integer number (2298240).

Almost surely, 2^72958368 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 72958368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110315520).

72958368 is an abundant number, since it is smaller than the sum of its proper divisors (147672672).

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

72958368 is a wasteful number, since it uses less digits than its factorization.

72958368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 890 (or 882 counting only the distinct ones).

The product of its digits is 725760, while the sum is 48.

The square root of 72958368 is about 8541.5670693380. The cubic root of 72958368 is about 417.8544551010.

The spelling of 72958368 in words is "seventy-two million, nine hundred fifty-eight thousand, three hundred sixty-eight".