37501162272 has 480 divisors, whose sum is σ = 132365528064. Its totient is φ = 10189670400.

The previous prime is 37501162267. The next prime is 37501162301. The reversal of 37501162272 is 27226110573.

37501162272 is a `hidden beast` number, since 375 + 0 + 1 + 16 + 2 + 272 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 34309758 + ... + 34310850.

Almost surely, 2^37501162272 is an apocalyptic number.

37501162272 is a gapful number since it is divisible by the number (32) 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 37501162272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66182764032).

37501162272 is an abundant number, since it is smaller than the sum of its proper divisors (94864365792).

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

37501162272 is a wasteful number, since it uses less digits than its factorization.

37501162272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1214 (or 1197 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The spelling of 37501162272 in words is "thirty-seven billion, five hundred one million, one hundred sixty-two thousand, two hundred seventy-two".