372509280 has 576 divisors, whose sum is σ = 1571851008. Its totient is φ = 82114560.

The previous prime is 372509273. The next prime is 372509329. The reversal of 372509280 is 82905273.

It is a happy number.

372509280 is a `hidden beast` number, since 3 + 72 + 509 + 2 + 80 = 666.

It is a super-3 number, since 3×372509280³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 95 ways as a sum of consecutive naturals, for example, 5559807 + ... + 5559873.

It is an arithmetic number, because the mean of its divisors is an integer number (2728908).

Almost surely, 2^372509280 is an apocalyptic number.

372509280 is a gapful number since it is divisible by the number (30) 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 372509280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (785925504).

372509280 is an abundant number, since it is smaller than the sum of its proper divisors (1199341728).

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

372509280 is a wasteful number, since it uses less digits than its factorization.

372509280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 372509280 is about 19300.4994754022. The cubic root of 372509280 is about 719.5246862869.

The spelling of 372509280 in words is "three hundred seventy-two million, five hundred nine thousand, two hundred eighty".