36531872 has 48 divisors (see below), whose sum is σ = 78141672. Its totient is φ = 16711680.

The previous prime is 36531829. The next prime is 36531881. The reversal of 36531872 is 27813563.

It can be written as a sum of positive squares in 4 ways, for example, as 33131536 + 3400336 = 5756^2 + 1844^2 .

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, 56672 + ... + 57312.

Almost surely, 2^36531872 is an apocalyptic number.

36531872 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36531872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39070836).

36531872 is an abundant number, since it is smaller than the sum of its proper divisors (41609800).

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

36531872 is a wasteful number, since it uses less digits than its factorization.

36531872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 801 (or 793 counting only the distinct ones).

The product of its digits is 30240, while the sum is 35.

The square root of 36531872 is about 6044.1601567133. The cubic root of 36531872 is about 331.8108953562.

The spelling of 36531872 in words is "thirty-six million, five hundred thirty-one thousand, eight hundred seventy-two".