72150888 has 64 divisors (see below), whose sum is σ = 191301120. Its totient is φ = 22636800.

The previous prime is 72150887. The next prime is 72150889. The reversal of 72150888 is 88805127.

It is an interprime number because it is at equal distance from previous prime (72150887) and next prime (72150889).

It is not an unprimeable number, because it can be changed into a prime (72150887) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26218 + ... + 28838.

It is an arithmetic number, because the mean of its divisors is an integer number (2989080).

Almost surely, 2^72150888 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 72150888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95650560).

72150888 is an abundant number, since it is smaller than the sum of its proper divisors (119150232).

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

72150888 is a wasteful number, since it uses less digits than its factorization.

72150888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2698 (or 2694 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 39.

The square root of 72150888 is about 8494.1678815526. The cubic root of 72150888 is about 416.3071726607.

The spelling of 72150888 in words is "seventy-two million, one hundred fifty thousand, eight hundred eighty-eight".