72501380 has 72 divisors (see below), whose sum is σ = 178573248. Its totient is φ = 24652992.

The previous prime is 72501361. The next prime is 72501409. The reversal of 72501380 is 8310527.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 163439 + ... + 163881.

It is an arithmetic number, because the mean of its divisors is an integer number (2480184).

Almost surely, 2^72501380 is an apocalyptic number.

72501380 is a gapful number since it is divisible by the number (70) 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 72501380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89286624).

72501380 is an abundant number, since it is smaller than the sum of its proper divisors (106071868).

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

72501380 is a wasteful number, since it uses less digits than its factorization.

72501380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 633 (or 624 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 26.

The square root of 72501380 is about 8514.7742189679. The cubic root of 72501380 is about 416.9801914040.

The spelling of 72501380 in words is "seventy-two million, five hundred one thousand, three hundred eighty".