72713250 has 96 divisors (see below), whose sum is σ = 208291824. Its totient is φ = 18240000.

The previous prime is 72713243. The next prime is 72713261. The reversal of 72713250 is 5231727.

It can be written as a sum of positive squares in 8 ways, for example, as 480249 + 72233001 = 693^2 + 8499^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37300 + ... + 39200.

Almost surely, 2^72713250 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72713250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104145912).

72713250 is an abundant number, since it is smaller than the sum of its proper divisors (135578574).

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

72713250 is a wasteful number, since it uses less digits than its factorization.

72713250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1941 (or 1928 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 27.

The square root of 72713250 is about 8527.2064593277. The cubic root of 72713250 is about 417.3859752914.

Adding to 72713250 its reverse (5231727), we get a palindrome (77944977).

The spelling of 72713250 in words is "seventy-two million, seven hundred thirteen thousand, two hundred fifty".