72928512 has 90 divisors (see below), whose sum is σ = 217521458. Its totient is φ = 24302592.

The previous prime is 72928501. The next prime is 72928529. The reversal of 72928512 is 21582927.

It can be written as a sum of positive squares in only one way, i.e., 72182016 + 746496 = 8496^2 + 864^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 18978 + ... + 22494.

Almost surely, 2^72928512 is an apocalyptic number.

72928512 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72928512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108760729).

72928512 is an abundant number, since it is smaller than the sum of its proper divisors (144592946).

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

72928512 is an equidigital number, since it uses as much as digits as its factorization.

72928512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3545 (or 3522 counting only the distinct ones).

The product of its digits is 20160, while the sum is 36.

The square root of 72928512 is about 8539.8192018333. The cubic root of 72928512 is about 417.7974492355.

It can be divided in two parts, 729 and 28512, that added together give a square (29241 = 171²).

The spelling of 72928512 in words is "seventy-two million, nine hundred twenty-eight thousand, five hundred twelve".