37485728 has 48 divisors (see below), whose sum is σ = 85567104. Its totient is φ = 15832320.

The previous prime is 37485677. The next prime is 37485733. The reversal of 37485728 is 82758473.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14726 + ... + 17082.

It is an arithmetic number, because the mean of its divisors is an integer number (1782648).

Almost surely, 2^37485728 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 37485728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42783552).

37485728 is an abundant number, since it is smaller than the sum of its proper divisors (48081376).

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

37485728 is a wasteful number, since it uses less digits than its factorization.

37485728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2445 (or 2437 counting only the distinct ones).

The product of its digits is 376320, while the sum is 44.

The square root of 37485728 is about 6122.5589421418. The cubic root of 37485728 is about 334.6740067772.

The spelling of 37485728 in words is "thirty-seven million, four hundred eighty-five thousand, seven hundred twenty-eight".