72897513 has 32 divisors (see below), whose sum is σ = 113452416. Its totient is φ = 41223168.

The previous prime is 72897499. The next prime is 72897527. The reversal of 72897513 is 31579827.

It is an interprime number because it is at equal distance from previous prime (72897499) and next prime (72897527).

It is not a de Polignac number, because 72897513 - 2¹⁰ = 72896489 is a prime.

It is a super-3 number, since 3×72897513³ (a number of 25 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (72897593) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27231 + ... + 29787.

It is an arithmetic number, because the mean of its divisors is an integer number (3545388).

Almost surely, 2^72897513 is an apocalyptic number.

It is an amenable number.

72897513 is a deficient number, since it is larger than the sum of its proper divisors (40554903).

72897513 is a wasteful number, since it uses less digits than its factorization.

72897513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2633.

The product of its digits is 105840, while the sum is 42.

The square root of 72897513 is about 8538.0040407580. The cubic root of 72897513 is about 417.7382445055.

The spelling of 72897513 in words is "seventy-two million, eight hundred ninety-seven thousand, five hundred thirteen".