72738427292501 has 2 divisors, whose sum is σ = 72738427292502. Its totient is φ = 72738427292500.

The previous prime is 72738427292497. The next prime is 72738427292513. The reversal of 72738427292501 is 10529272483727.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 55698249691876 + 17040177600625 = 7463126^2 + 4127975^2 .

It is a cyclic number.

It is not a de Polignac number, because 72738427292501 - 2² = 72738427292497 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72738427292551) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36369213646250 + 36369213646251.

It is an arithmetic number, because the mean of its divisors is an integer number (36369213646251).

Almost surely, 2^{72738427292501} is an apocalyptic number.

It is an amenable number.

72738427292501 is a deficient number, since it is larger than the sum of its proper divisors (1).

72738427292501 is an equidigital number, since it uses as much as digits as its factorization.

72738427292501 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 23708160, while the sum is 59.

The spelling of 72738427292501 in words is "seventy-two trillion, seven hundred thirty-eight billion, four hundred twenty-seven million, two hundred ninety-two thousand, five hundred one".