37536 has 48 divisors (see below), whose sum is σ = 108864. Its totient is φ = 11264.

The previous prime is 37529. The next prime is 37537. The reversal of 37536 is 63573.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

Its product of digits (1890) is a multiple of the sum of its prime divisors (45).

It is a nialpdrome in base 14.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 37536.

It is not an unprimeable number, because it can be changed into a prime (37537) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1621 + ... + 1643.

It is an arithmetic number, because the mean of its divisors is an integer number (2268).

2³⁷⁵³⁶ 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 37536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54432).

37536 is an abundant number, since it is smaller than the sum of its proper divisors (71328).

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

37536 is a wasteful number, since it uses less digits than its factorization.

37536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53 (or 45 counting only the distinct ones).

The product of its digits is 1890, while the sum is 24.

The square root of 37536 is about 193.7420966130. The cubic root of 37536 is about 33.4823550056.

The spelling of 37536 in words is "thirty-seven thousand, five hundred thirty-six".