37545672 has 64 divisors (see below), whose sum is σ = 99691200. Its totient is φ = 11750400.

The previous prime is 37545659. The next prime is 37545701. The reversal of 37545672 is 27654573.

37545672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a plaindrome in base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 37545672.

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 15 ways as a sum of consecutive naturals, for example, 62172 + ... + 62772.

It is an arithmetic number, because the mean of its divisors is an integer number (1557675).

Almost surely, 2^37545672 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 37545672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49845600).

37545672 is an abundant number, since it is smaller than the sum of its proper divisors (62145528).

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

37545672 is a wasteful number, since it uses less digits than its factorization.

37545672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 766 (or 762 counting only the distinct ones).

The product of its digits is 176400, while the sum is 39.

The square root of 37545672 is about 6127.4523253959. The cubic root of 37545672 is about 334.8523058754.

The spelling of 37545672 in words is "thirty-seven million, five hundred forty-five thousand, six hundred seventy-two".