72648936 has 48 divisors (see below), whose sum is σ = 198584100. Its totient is φ = 23991552.

The previous prime is 72648907. The next prime is 72648949. The reversal of 72648936 is 63984627.

It can be written as a sum of positive squares in 2 ways, for example, as 70660836 + 1988100 = 8406^2 + 1410^2 .

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 72648891 and 72648900.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3220 + ... + 12476.

Almost surely, 2^72648936 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72648936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99292050).

72648936 is an abundant number, since it is smaller than the sum of its proper divisors (125935164).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

72648936 is a wasteful number, since it uses less digits than its factorization.

72648936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9378 (or 9371 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 72648936 is about 8523.4345190187. The cubic root of 72648936 is about 417.2628813582.

The spelling of 72648936 in words is "seventy-two million, six hundred forty-eight thousand, nine hundred thirty-six".