72358416 has 60 divisors (see below), whose sum is σ = 218085868. Its totient is φ = 22263552.

The previous prime is 72358387. The next prime is 72358439. The reversal of 72358416 is 61485327.

72358416 is a `hidden beast` number, since 7 + 235 + 8 + 416 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 8294400 + 64064016 = 2880^2 + 8004^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17455 + ... + 21198.

Almost surely, 2^72358416 is an apocalyptic number.

It is an amenable number.

72358416 is an abundant number, since it is smaller than the sum of its proper divisors (145727452).

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

72358416 is a wasteful number, since it uses less digits than its factorization.

72358416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38680 (or 38671 counting only the distinct ones).

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

The square root of 72358416 is about 8506.3750211239. The cubic root of 72358416 is about 416.7059327973.

It can be divided in two parts, 7235 and 8416, that added together give a palindrome (15651).

The spelling of 72358416 in words is "seventy-two million, three hundred fifty-eight thousand, four hundred sixteen".