37722672 has 100 divisors (see below), whose sum is σ = 117631360. Its totient is φ = 11601792.

The previous prime is 37722667. The next prime is 37722679. The reversal of 37722672 is 27622773.

37722672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (37722679) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 15729 + ... + 17967.

Almost surely, 2^37722672 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 37722672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58815680).

37722672 is an abundant number, since it is smaller than the sum of its proper divisors (79908688).

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

37722672 is a wasteful number, since it uses less digits than its factorization.

37722672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2272 (or 2257 counting only the distinct ones).

The product of its digits is 49392, while the sum is 36.

The square root of 37722672 is about 6141.8785399908. The cubic root of 37722672 is about 335.3776745967.

The spelling of 37722672 in words is "thirty-seven million, seven hundred twenty-two thousand, six hundred seventy-two".