72159840 has 72 divisors (see below), whose sum is σ = 246250368. Its totient is φ = 19242240.

The previous prime is 72159823. The next prime is 72159851. The reversal of 72159840 is 4895127.

72159840 is a `hidden beast` number, since 7 + 21 + 598 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a junction number, because it is equal to n+sod(n) for n = 72159795 and 72159804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23616 + ... + 26495.

It is an arithmetic number, because the mean of its divisors is an integer number (3420144).

Almost surely, 2^72159840 is an apocalyptic number.

It is an amenable number.

72159840 is an abundant number, since it is smaller than the sum of its proper divisors (174090528).

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

72159840 is a wasteful number, since it uses less digits than its factorization.

72159840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50132 (or 50121 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 72159840 is about 8494.6948150007. The cubic root of 72159840 is about 416.3243894860.

The spelling of 72159840 in words is "seventy-two million, one hundred fifty-nine thousand, eight hundred forty".