72896761 has 20 divisors (see below), whose sum is σ = 86192372. Its totient is φ = 61641216.

The previous prime is 72896753. The next prime is 72896797. The reversal of 72896761 is 16769827.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 11431161 + 61465600 = 3381^2 + 7840^2 .

It is not a de Polignac number, because 72896761 - 2³ = 72896753 is a prime.

It is a super-2 number, since 2×72896761² = 10627875528582242, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (72896701) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 232741 + ... + 233053.

Almost surely, 2^72896761 is an apocalyptic number.

It is an amenable number.

72896761 is a deficient number, since it is larger than the sum of its proper divisors (13295611).

72896761 is an frugal number, since it uses more digits than its factorization.

72896761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 438 (or 417 counting only the distinct ones).

The product of its digits is 254016, while the sum is 46.

The square root of 72896761 is about 8537.9600022488. The cubic root of 72896761 is about 417.7368080585.

It can be divided in two parts, 728967 and 61, that added together give a triangular number (729028 = T₁₂₀₇).

The spelling of 72896761 in words is "seventy-two million, eight hundred ninety-six thousand, seven hundred sixty-one".