72153940 has 12 divisors (see below), whose sum is σ = 151523316. Its totient is φ = 28861568.

The previous prime is 72153889. The next prime is 72153947. The reversal of 72153940 is 4935127.

It can be written as a sum of positive squares in 2 ways, for example, as 30603024 + 41550916 = 5532^2 + 6446^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72153947) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1803829 + ... + 1803868.

It is an arithmetic number, because the mean of its divisors is an integer number (12626943).

Almost surely, 2^72153940 is an apocalyptic number.

It is an amenable number.

72153940 is an abundant number, since it is smaller than the sum of its proper divisors (79369376).

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

72153940 is a wasteful number, since it uses less digits than its factorization.

72153940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3607706 (or 3607704 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 31.

The square root of 72153940 is about 8494.3475323300. The cubic root of 72153940 is about 416.3130425426.

The spelling of 72153940 in words is "seventy-two million, one hundred fifty-three thousand, nine hundred forty".