37542512 has 40 divisors (see below), whose sum is σ = 84387456. Its totient is φ = 15846336.

The previous prime is 37542493. The next prime is 37542539. The reversal of 37542512 is 21524573.

It is a happy number.

37542512 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 7 ways as a sum of consecutive naturals, for example, 5003 + ... + 10005.

Almost surely, 2^37542512 is an apocalyptic number.

37542512 is the 5003-rd pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 37542512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42193728).

37542512 is an abundant number, since it is smaller than the sum of its proper divisors (46844944).

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

37542512 is a wasteful number, since it uses less digits than its factorization.

37542512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5085 (or 5079 counting only the distinct ones).

The product of its digits is 8400, while the sum is 29.

The square root of 37542512 is about 6127.1944640267. The cubic root of 37542512 is about 334.8429114240.

The spelling of 37542512 in words is "thirty-seven million, five hundred forty-two thousand, five hundred twelve".