72139680 has 96 divisors (see below), whose sum is σ = 252504000. Its totient is φ = 19236096.

The previous prime is 72139667. The next prime is 72139693. The reversal of 72139680 is 8693127.

It is an interprime number because it is at equal distance from previous prime (72139667) and next prime (72139693).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4030 + ... + 12669.

It is an arithmetic number, because the mean of its divisors is an integer number (2630250).

Almost surely, 2^72139680 is an apocalyptic number.

It is an amenable number.

72139680 is an abundant number, since it is smaller than the sum of its proper divisors (180364320).

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

72139680 is a wasteful number, since it uses less digits than its factorization.

72139680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16723 (or 16709 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 72139680 is about 8493.5081091384. The cubic root of 72139680 is about 416.2856150031.

It can be divided in two parts, 721 and 39680, that added together give a square (40401 = 201²).

The spelling of 72139680 in words is "seventy-two million, one hundred thirty-nine thousand, six hundred eighty".