72902593 has 8 divisors (see below), whose sum is σ = 74574720. Its totient is φ = 71235600.

The previous prime is 72902569. The next prime is 72902603. The reversal of 72902593 is 39520927.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 72902593 - 2⁵ = 72902561 is a prime.

It is a super-2 number, since 2×72902593² = 10629576132247298, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72902293) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 49518 + ... + 50968.

It is an arithmetic number, because the mean of its divisors is an integer number (9321840).

Almost surely, 2^72902593 is an apocalyptic number.

It is an amenable number.

72902593 is a deficient number, since it is larger than the sum of its proper divisors (1672127).

72902593 is a wasteful number, since it uses less digits than its factorization.

72902593 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2567.

The product of its (nonzero) digits is 34020, while the sum is 37.

The square root of 72902593 is about 8538.3015289928. The cubic root of 72902593 is about 417.7479479046.

The spelling of 72902593 in words is "seventy-two million, nine hundred two thousand, five hundred ninety-three".