37281672 has 48 divisors (see below), whose sum is σ = 101537280. Its totient is φ = 12357600.

The previous prime is 37281661. The next prime is 37281679. The reversal of 37281672 is 27618273.

37281672 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 (37281679) 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 11 ways as a sum of consecutive naturals, for example, 12397 + ... + 15107.

It is an arithmetic number, because the mean of its divisors is an integer number (2115360).

Almost surely, 2^37281672 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 37281672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50768640).

37281672 is an abundant number, since it is smaller than the sum of its proper divisors (64255608).

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

37281672 is a wasteful number, since it uses less digits than its factorization.

37281672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2914 (or 2907 counting only the distinct ones).

The product of its digits is 28224, while the sum is 36.

The square root of 37281672 is about 6105.8719279068. The cubic root of 37281672 is about 334.0656282765.

The spelling of 37281672 in words is "thirty-seven million, two hundred eighty-one thousand, six hundred seventy-two".