72433008 has 80 divisors (see below), whose sum is σ = 209986560. Its totient is φ = 23903424.

The previous prime is 72432991. The next prime is 72433037. The reversal of 72433008 is 80033427.

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

It is a congruent number.

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, 45441 + ... + 47007.

It is an arithmetic number, because the mean of its divisors is an integer number (2624832).

Almost surely, 2^72433008 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 72433008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104993280).

72433008 is an abundant number, since it is smaller than the sum of its proper divisors (137553552).

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

72433008 is a wasteful number, since it uses less digits than its factorization.

72433008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1691 (or 1679 counting only the distinct ones).

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

The square root of 72433008 is about 8510.7583680892. The cubic root of 72433008 is about 416.8490732729.

The spelling of 72433008 in words is "seventy-two million, four hundred thirty-three thousand, eight".