72648279 has 48 divisors (see below), whose sum is σ = 121700320. Its totient is φ = 42768000.

The previous prime is 72648263. The next prime is 72648299. The reversal of 72648279 is 97284627.

It is not a de Polignac number, because 72648279 - 2⁴ = 72648263 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 (72648299) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 120579 + ... + 121179.

Almost surely, 2^72648279 is an apocalyptic number.

72648279 is a deficient number, since it is larger than the sum of its proper divisors (49052041).

72648279 is a wasteful number, since it uses less digits than its factorization.

72648279 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 669 (or 652 counting only the distinct ones).

The product of its digits is 338688, while the sum is 45.

The square root of 72648279 is about 8523.3959781298. The cubic root of 72648279 is about 417.2616235167.

It can be divided in two parts, 72648 and 279, that added together give a palindrome (72927).

The spelling of 72648279 in words is "seventy-two million, six hundred forty-eight thousand, two hundred seventy-nine".