37542528 has 192 divisors, whose sum is σ = 120294720. Its totient is φ = 11612160.

The previous prime is 37542493. The next prime is 37542539. The reversal of 37542528 is 82524573.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a junction number, because it is equal to n+sod(n) for n = 37542492 and 37542501.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 528733 + ... + 528803.

It is an arithmetic number, because the mean of its divisors is an integer number (626535).

Almost surely, 2^37542528 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 37542528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60147360).

37542528 is an abundant number, since it is smaller than the sum of its proper divisors (82752192).

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

37542528 is an equidigital number, since it uses as much as digits as its factorization.

37542528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 93 counting only the distinct ones).

The product of its digits is 67200, while the sum is 36.

The square root of 37542528 is about 6127.1957696813. The cubic root of 37542528 is about 334.8429589922.

The spelling of 37542528 in words is "thirty-seven million, five hundred forty-two thousand, five hundred twenty-eight".