72033408 has 128 divisors (see below), whose sum is σ = 223992000. Its totient is φ = 22726656.

The previous prime is 72033397. The next prime is 72033431. The reversal of 72033408 is 80433027.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65116 + ... + 66212.

Almost surely, 2^72033408 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 72033408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111996000).

72033408 is an abundant number, since it is smaller than the sum of its proper divisors (151958592).

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

72033408 is a wasteful number, since it uses less digits than its factorization.

72033408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1139 (or 1121 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 72033408 is about 8487.2497312145. The cubic root of 72033408 is about 416.0810985873.

The spelling of 72033408 in words is "seventy-two million, thirty-three thousand, four hundred eight".