372229434720 has 2160 divisors, whose sum is σ = 1691360138160. Its totient is φ = 76366540800.

The previous prime is 372229434679. The next prime is 372229434743. The reversal of 372229434720 is 27434922273.

372229434720 is a `hidden beast` number, since 3 + 72 + 22 + 94 + 3 + 472 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 12007401105 + ... + 12007401135.

It is an arithmetic number, because the mean of its divisors is an integer number (783037101).

Almost surely, 2^372229434720 is an apocalyptic number.

372229434720 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 372229434720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (845680069080).

372229434720 is an abundant number, since it is smaller than the sum of its proper divisors (1319130703440).

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

372229434720 is a wasteful number, since it uses less digits than its factorization.

372229434720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 45.

The spelling of 372229434720 in words is "three hundred seventy-two billion, two hundred twenty-nine million, four hundred thirty-four thousand, seven hundred twenty".