72045888 has 56 divisors (see below), whose sum is σ = 191341248. Its totient is φ = 23924736.

The previous prime is 72045863. The next prime is 72045899. The reversal of 72045888 is 88854027.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 67245 + ... + 68307.

It is an arithmetic number, because the mean of its divisors is an integer number (3416808).

Almost surely, 2^72045888 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 72045888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95670624).

72045888 is an abundant number, since it is smaller than the sum of its proper divisors (119295360).

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

72045888 is a wasteful number, since it uses less digits than its factorization.

72045888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1431 (or 1421 counting only the distinct ones).

The product of its (nonzero) digits is 143360, while the sum is 42.

The square root of 72045888 is about 8487.9849198735. The cubic root of 72045888 is about 416.1051262915.

The spelling of 72045888 in words is "seventy-two million, forty-five thousand, eight hundred eighty-eight".