72167214340 has 48 divisors (see below), whose sum is σ = 163730549808. Its totient is φ = 26561193984.

The previous prime is 72167214281. The next prime is 72167214359. The reversal of 72167214340 is 4341276127.

It can be written as a sum of positive squares in 8 ways, for example, as 49633601796 + 22533612544 = 222786^2 + 150112^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 72167214340.

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, 362017 + ... + 524776.

It is an arithmetic number, because the mean of its divisors is an integer number (3411053121).

Almost surely, 2^72167214340 is an apocalyptic number.

It is an amenable number.

72167214340 is an abundant number, since it is smaller than the sum of its proper divisors (91563335468).

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

72167214340 is a wasteful number, since it uses less digits than its factorization.

72167214340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 887128 (or 887126 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 37.

The spelling of 72167214340 in words is "seventy-two billion, one hundred sixty-seven million, two hundred fourteen thousand, three hundred forty".