72158364 has 72 divisors (see below), whose sum is σ = 192414768. Its totient is φ = 23639040.

The previous prime is 72158347. The next prime is 72158369. The reversal of 72158364 is 46385127.

72158364 is a `hidden beast` number, since 72 + 1 + 583 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72158369) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58684 + ... + 59900.

Almost surely, 2^72158364 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 72158364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96207384).

72158364 is an abundant number, since it is smaller than the sum of its proper divisors (120256404).

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

72158364 is a wasteful number, since it uses less digits than its factorization.

72158364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1297 (or 1283 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 72158364 is about 8494.6079368032. The cubic root of 72158364 is about 416.3215508849.

The spelling of 72158364 in words is "seventy-two million, one hundred fifty-eight thousand, three hundred sixty-four".