72193927883401 has 9 divisors (see below), whose sum is σ = 72640946178381. Its totient is φ = 71749643884812.

The previous prime is 72193927883369. The next prime is 72193927883437. The reversal of 72193927883401 is 10438872939127.

The square root of 72193927883401 is 8496701.

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

It is not a de Polignac number, because 72193927883401 - 2⁵ = 72193927883369 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72193927883101) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1384936200 + ... + 1384988326.

Almost surely, 2^{72193927883401} is an apocalyptic number.

72193927883401 is the 8496701-st square number.

72193927883401 is the 4248351-st centered octagonal number.

It is an amenable number.

72193927883401 is a deficient number, since it is larger than the sum of its proper divisors (447018294980).

72193927883401 is an frugal number, since it uses more digits than its factorization.

72193927883401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104580 (or 52290 counting only the distinct ones).

The product of its (nonzero) digits is 36578304, while the sum is 64.

The spelling of 72193927883401 in words is "seventy-two trillion, one hundred ninety-three billion, nine hundred twenty-seven million, eight hundred eighty-three thousand, four hundred one".