72457308 has 96 divisors (see below), whose sum is σ = 234232320. Its totient is φ = 18817920.

The previous prime is 72457267. The next prime is 72457313. The reversal of 72457308 is 80375427.

It is a super-2 number, since 2×72457308² = 10500122965213728, which contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 3960 + ... + 12672.

It is an arithmetic number, because the mean of its divisors is an integer number (2439920).

Almost surely, 2^72457308 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 72457308, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117116160).

72457308 is an abundant number, since it is smaller than the sum of its proper divisors (161775012).

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

72457308 is a wasteful number, since it uses less digits than its factorization.

72457308 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8744 (or 8736 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 72457308 is about 8512.1858532342. The cubic root of 72457308 is about 416.8956832381.

The spelling of 72457308 in words is "seventy-two million, four hundred fifty-seven thousand, three hundred eight".