372864240 has 240 divisors, whose sum is σ = 1442907648. Its totient is φ = 84524544.

The previous prime is 372864197. The next prime is 372864241. The reversal of 372864240 is 42468273.

372864240 is a `hidden beast` number, since 3 + 7 + 2 + 8 + 642 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 = 372864195 and 372864204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (372864241) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 841459 + ... + 841901.

Almost surely, 2^372864240 is an apocalyptic number.

372864240 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 372864240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (721453824).

372864240 is an abundant number, since it is smaller than the sum of its proper divisors (1070043408).

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

372864240 is a wasteful number, since it uses less digits than its factorization.

372864240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 636 (or 627 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 372864240 is about 19309.6929027885. The cubic root of 372864240 is about 719.7531561228.

The spelling of 372864240 in words is "three hundred seventy-two million, eight hundred sixty-four thousand, two hundred forty".