72988938 has 128 divisors (see below), whose sum is σ = 188455680. Its totient is φ = 20995200.

The previous prime is 72988921. The next prime is 72988961. The reversal of 72988938 is 83988927.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (1741824) is a multiple of the sum of its prime factors (112).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1780198 + ... + 1780238.

It is an arithmetic number, because the mean of its divisors is an integer number (1472310).

Almost surely, 2^72988938 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72988938, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94227840).

72988938 is an abundant number, since it is smaller than the sum of its proper divisors (115466742).

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

72988938 is a wasteful number, since it uses less digits than its factorization.

72988938 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 94 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 54.

The square root of 72988938 is about 8543.3563662064. The cubic root of 72988938 is about 417.9128081378.

It can be divided in two parts, 729889 and 38, that added together give a palindrome (729927).

The spelling of 72988938 in words is "seventy-two million, nine hundred eighty-eight thousand, nine hundred thirty-eight".