372285144 has 288 divisors, whose sum is σ = 1310858640. Its totient is φ = 94348800.

The previous prime is 372285143. The next prime is 372285149. The reversal of 372285144 is 441582273.

It is a happy number.

372285144 is a `hidden beast` number, since 372 + 285 + 1 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 372285099 and 372285108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (372285143) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2056734 + ... + 2056914.

Almost surely, 2^372285144 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 372285144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (655429320).

372285144 is an abundant number, since it is smaller than the sum of its proper divisors (938573496).

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

372285144 is a wasteful number, since it uses less digits than its factorization.

372285144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 257 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 372285144 is about 19294.6921198551. The cubic root of 372285144 is about 719.3803464903.

The spelling of 372285144 in words is "three hundred seventy-two million, two hundred eighty-five thousand, one hundred forty-four".