72897461 has 16 divisors (see below), whose sum is σ = 92617728. Its totient is φ = 55814400.

The previous prime is 72897431. The next prime is 72897491. The reversal of 72897461 is 16479827.

It is an interprime number because it is at equal distance from previous prime (72897431) and next prime (72897491).

It is a cyclic number.

It is not a de Polignac number, because 72897461 - 2¹⁰ = 72896437 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72897401) 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 15 ways as a sum of consecutive naturals, for example, 10100 + ... + 15741.

It is an arithmetic number, because the mean of its divisors is an integer number (5788608).

Almost surely, 2^72897461 is an apocalyptic number.

It is an amenable number.

72897461 is a deficient number, since it is larger than the sum of its proper divisors (19720267).

72897461 is a wasteful number, since it uses less digits than its factorization.

72897461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25892.

The product of its digits is 169344, while the sum is 44.

The square root of 72897461 is about 8538.0009955493. Note that the first 3 decimals coincide. The cubic root of 72897461 is about 417.7381451771.

It can be divided in two parts, 728 and 97461, that added together give a palindrome (98189).

The spelling of 72897461 in words is "seventy-two million, eight hundred ninety-seven thousand, four hundred sixty-one".