72648261 has 12 divisors (see below), whose sum is σ = 119927392. Its totient is φ = 41513256.

The previous prime is 72648241. The next prime is 72648263. The reversal of 72648261 is 16284627.

72648261 is a `hidden beast` number, since 7 + 2 + 648 + 2 + 6 + 1 = 666.

It is not a de Polignac number, because 72648261 - 2⁶ = 72648197 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72648263) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 576511 + ... + 576636.

Almost surely, 2^72648261 is an apocalyptic number.

It is an amenable number.

72648261 is a deficient number, since it is larger than the sum of its proper divisors (47279131).

72648261 is a wasteful number, since it uses less digits than its factorization.

72648261 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1153160 (or 1153157 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 72648261 is about 8523.3949222126. The cubic root of 72648261 is about 417.2615890551.

The spelling of 72648261 in words is "seventy-two million, six hundred forty-eight thousand, two hundred sixty-one".