72139914 has 192 divisors, whose sum is σ = 212779008. Its totient is φ = 17107200.

The previous prime is 72139909. The next prime is 72139961. The reversal of 72139914 is 41993127.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 988182 + ... + 988254.

It is an arithmetic number, because the mean of its divisors is an integer number (1108224).

Almost surely, 2^72139914 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72139914, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106389504).

72139914 is an abundant number, since it is smaller than the sum of its proper divisors (140639094).

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

72139914 is a wasteful number, since it uses less digits than its factorization.

72139914 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 150 counting only the distinct ones).

The product of its digits is 13608, while the sum is 36.

The square root of 72139914 is about 8493.5218843540. The cubic root of 72139914 is about 416.2860651055.

The spelling of 72139914 in words is "seventy-two million, one hundred thirty-nine thousand, nine hundred fourteen".