72348088576 has 27 divisors (see below), whose sum is σ = 144422158363. Its totient is φ = 36171892480.

The previous prime is 72348088543. The next prime is 72348088577. The reversal of 72348088576 is 67588084327.

The square root of 72348088576 is 268976.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 72348088576.

It is not an unprimeable number, because it can be changed into a prime (72348088577) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 4295211 + ... + 4312021.

Almost surely, 2^72348088576 is an apocalyptic number.

72348088576 is the 268976-th square number.

It is an amenable number.

72348088576 is a deficient number, since it is larger than the sum of its proper divisors (72074069787).

72348088576 is an frugal number, since it uses more digits than its factorization.

72348088576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33638 (or 16813 counting only the distinct ones).

The product of its (nonzero) digits is 18063360, while the sum is 58.

The spelling of 72348088576 in words is "seventy-two billion, three hundred forty-eight million, eighty-eight thousand, five hundred seventy-six".