72399872 has 44 divisors (see below), whose sum is σ = 153279360. Its totient is φ = 34062336.

The previous prime is 72399869. The next prime is 72399893. The reversal of 72399872 is 27899327.

It is a Smith number, since the sum of its digits (47) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 15329 + ... + 19487.

Almost surely, 2^72399872 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 72399872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76639680).

72399872 is an abundant number, since it is smaller than the sum of its proper divisors (80879488).

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

72399872 is a wasteful number, since it uses less digits than its factorization.

72399872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4196 (or 4178 counting only the distinct ones).

The product of its digits is 381024, while the sum is 47.

The square root of 72399872 is about 8508.8114328618. The cubic root of 72399872 is about 416.7854981244.

The spelling of 72399872 in words is "seventy-two million, three hundred ninety-nine thousand, eight hundred seventy-two".