72933408 has 72 divisors (see below), whose sum is σ = 208854828. Its totient is φ = 24141312.

The previous prime is 72933403. The next prime is 72933449. The reversal of 72933408 is 80433927.

It can be written as a sum of positive squares in 2 ways, for example, as 72795024 + 138384 = 8532^2 + 372^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a nialpdrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (72933403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 44410 + ... + 46022.

Almost surely, 2^72933408 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 72933408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104427414).

72933408 is an abundant number, since it is smaller than the sum of its proper divisors (135921420).

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

72933408 is a wasteful number, since it uses less digits than its factorization.

72933408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1786 (or 1775 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 72933408 is about 8540.1058541449. The cubic root of 72933408 is about 417.8067985306.

It can be divided in two parts, 7293 and 3408, that added together give a palindrome (10701).

The spelling of 72933408 in words is "seventy-two million, nine hundred thirty-three thousand, four hundred eight".