72592101 has 6 divisors (see below), whose sum is σ = 104855270. Its totient is φ = 48394728.

The previous prime is 72592097. The next prime is 72592109. The reversal of 72592101 is 10129527.

72592101 is a `hidden beast` number, since 72 + 592 + 1 + 0 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 45562500 + 27029601 = 6750^2 + 5199^2 .

It is not a de Polignac number, because 72592101 - 2² = 72592097 is a prime.

It is a super-2 number, since 2×72592101² = 10539226255188402, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72592109) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4032886 + ... + 4032903.

Almost surely, 2^72592101 is an apocalyptic number.

It is an amenable number.

72592101 is a deficient number, since it is larger than the sum of its proper divisors (32263169).

72592101 is a wasteful number, since it uses less digits than its factorization.

72592101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8065795 (or 8065792 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 72592101 is about 8520.0998233589. The cubic root of 72592101 is about 417.1540413936.

The spelling of 72592101 in words is "seventy-two million, five hundred ninety-two thousand, one hundred one".