372220800 has 384 divisors, whose sum is σ = 1457049600. Its totient is φ = 81715200.

The previous prime is 372220787. The next prime is 372220817. The reversal of 372220800 is 8022273.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1948705 + ... + 1948895.

It is an arithmetic number, because the mean of its divisors is an integer number (3794400).

Almost surely, 2^372220800 is an apocalyptic number.

372220800 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 372220800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (728524800).

372220800 is an abundant number, since it is smaller than the sum of its proper divisors (1084828800).

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

372220800 is a wasteful number, since it uses less digits than its factorization.

372220800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 372220800 is about 19293.0246462290. The cubic root of 372220800 is about 719.3388993391.

The spelling of 372220800 in words is "three hundred seventy-two million, two hundred twenty thousand, eight hundred".