37625416272 has 280 divisors, whose sum is σ = 114985348800. Its totient is φ = 11898399744.

The previous prime is 37625416267. The next prime is 37625416337. The reversal of 37625416272 is 27261452673.

37625416272 is a `hidden beast` number, since 3 + 7 + 625 + 4 + 16 + 2 + 7 + 2 = 666.

Its product of digits (846720) is a multiple of the sum of its prime divisors (1176).

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 55 ways as a sum of consecutive naturals, for example, 37289304 + ... + 37290312.

It is an arithmetic number, because the mean of its divisors is an integer number (410661960).

Almost surely, 2^37625416272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 37625416272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57492674400).

37625416272 is an abundant number, since it is smaller than the sum of its proper divisors (77359932528).

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

37625416272 is a wasteful number, since it uses less digits than its factorization.

37625416272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1197 (or 1176 counting only the distinct ones).

The product of its digits is 846720, while the sum is 45.

The spelling of 37625416272 in words is "thirty-seven billion, six hundred twenty-five million, four hundred sixteen thousand, two hundred seventy-two".