72500320 has 96 divisors (see below), whose sum is σ = 181149696. Its totient is φ = 27379200.

The previous prime is 72500317. The next prime is 72500327. The reversal of 72500320 is 2300527.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72500327) 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, 232965 + ... + 233275.

It is an arithmetic number, because the mean of its divisors is an integer number (1886976).

Almost surely, 2^72500320 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 72500320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90574848).

72500320 is an abundant number, since it is smaller than the sum of its proper divisors (108649376).

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

72500320 is a wasteful number, since it uses less digits than its factorization.

72500320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 19.

The square root of 72500320 is about 8514.7119739895. The cubic root of 72500320 is about 416.9781592534.

Adding to 72500320 its reverse (2300527), we get a palindrome (74800847).

The spelling of 72500320 in words is "seventy-two million, five hundred thousand, three hundred twenty".