372335616 has 165 divisors, whose sum is σ = 1128709659. Its totient is φ = 122259456.

The previous prime is 372335603. The next prime is 372335633. The reversal of 372335616 is 616533273.

The square root of 372335616 is 19296.

It is a perfect power (a square), and thus also a powerful number.

372335616 is a `hidden beast` number, since 3 + 7 + 2 + 3 + 35 + 616 = 666.

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

Its product of digits (68040) is a multiple of the sum of its prime divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 5557215 + ... + 5557281.

Almost surely, 2^372335616 is an apocalyptic number.

372335616 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

372335616 is the 19296-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 372335616

372335616 is an abundant number, since it is smaller than the sum of its proper divisors (756374043).

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

372335616 is an frugal number, since it uses more digits than its factorization.

372335616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 72 counting only the distinct ones).

The product of its digits is 68040, while the sum is 36.

The cubic root of 372335616 is about 719.4128546584.

Multiplying 372335616 by its sum of digits (36), we get a square (13404082176 = 115776²).

372335616 divided by its sum of digits (36) gives a square (10342656 = 3216²).

Adding to 372335616 its reverse (616533273), we get a palindrome (988868889).

It can be divided in two parts, 37233 and 5616, that added together give a square (42849 = 207²).

The spelling of 372335616 in words is "three hundred seventy-two million, three hundred thirty-five thousand, six hundred sixteen".