72597401 has 2 divisors, whose sum is σ = 72597402. Its totient is φ = 72597400.

The previous prime is 72597397. The next prime is 72597403. The reversal of 72597401 is 10479527.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 71995225 + 602176 = 8485^2 + 776^2 .

It is a cyclic number.

It is not a de Polignac number, because 72597401 - 2² = 72597397 is a prime.

Together with 72597403, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (72597403) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36298700 + 36298701.

It is an arithmetic number, because the mean of its divisors is an integer number (36298701).

Almost surely, 2^72597401 is an apocalyptic number.

It is an amenable number.

72597401 is a deficient number, since it is larger than the sum of its proper divisors (1).

72597401 is an equidigital number, since it uses as much as digits as its factorization.

72597401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 17640, while the sum is 35.

The square root of 72597401 is about 8520.4108469017. The cubic root of 72597401 is about 417.1641933825.

The spelling of 72597401 in words is "seventy-two million, five hundred ninety-seven thousand, four hundred one".