72793500 has 96 divisors (see below), whose sum is σ = 228341568. Its totient is φ = 17913600.

The previous prime is 72793493. The next prime is 72793519. The reversal of 72793500 is 539727.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17634 + ... + 21366.

It is an arithmetic number, because the mean of its divisors is an integer number (2378558).

Almost surely, 2^72793500 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 72793500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114170784).

72793500 is an abundant number, since it is smaller than the sum of its proper divisors (155548068).

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

72793500 is a wasteful number, since it uses less digits than its factorization.

72793500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3768 (or 3756 counting only the distinct ones).

The product of its (nonzero) digits is 13230, while the sum is 33.

The square root of 72793500 is about 8531.9106887027. The cubic root of 72793500 is about 417.5394682231.

The spelling of 72793500 in words is "seventy-two million, seven hundred ninety-three thousand, five hundred".