72648793 has 16 divisors (see below), whose sum is σ = 85155840. Its totient is φ = 60685776.

The previous prime is 72648781. The next prime is 72648817. The reversal of 72648793 is 39784627.

It is a cyclic number.

It is not a de Polignac number, because 72648793 - 2²¹ = 70551641 is a prime.

It is not an unprimeable number, because it can be changed into a prime (72648733) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 144180 + ... + 144682.

It is an arithmetic number, because the mean of its divisors is an integer number (5322240).

Almost surely, 2^72648793 is an apocalyptic number.

It is an amenable number.

72648793 is a deficient number, since it is larger than the sum of its proper divisors (12507047).

72648793 is a wasteful number, since it uses less digits than its factorization.

72648793 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 996.

The product of its digits is 508032, while the sum is 46.

The square root of 72648793 is about 8523.4261303774. The cubic root of 72648793 is about 417.2626075820.

It can be divided in two parts, 72648 and 793, that added together give a square (73441 = 271²).

The spelling of 72648793 in words is "seventy-two million, six hundred forty-eight thousand, seven hundred ninety-three".