72147232840 has 16 divisors (see below), whose sum is σ = 162331273980. Its totient is φ = 28858893120.

The previous prime is 72147232837. The next prime is 72147232873. The reversal of 72147232840 is 4823274127.

It can be written as a sum of positive squares in 2 ways, for example, as 71951624644 + 195608196 = 268238^2 + 13986^2 .

It is a Harshad number since it is a multiple of its sum of digits (40), and also a Moran number because the ratio is a prime number: 1803680821 = 72147232840 / (7 + 2 + 1 + 4 + 7 + 2 + 3 + 2 + 8 + 4 + 0).

It is a junction number, because it is equal to n+sod(n) for n = 72147232793 and 72147232802.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 901840371 + ... + 901840450.

Almost surely, 2^72147232840 is an apocalyptic number.

It is an amenable number.

72147232840 is an abundant number, since it is smaller than the sum of its proper divisors (90184041140).

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

72147232840 is a wasteful number, since it uses less digits than its factorization.

72147232840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1803680832 (or 1803680828 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 40.

The spelling of 72147232840 in words is "seventy-two billion, one hundred forty-seven million, two hundred thirty-two thousand, eight hundred forty".