36876072 has 32 divisors (see below), whose sum is σ = 92361600. Its totient is φ = 12269184.

The previous prime is 36876071. The next prime is 36876079. The reversal of 36876072 is 27067863.

It is a super-2 number, since 2×36876072² = 2719689372298368, which contains 22 as substring.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 36876072.

It is not an unprimeable number, because it can be changed into a prime (36876071) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16188 + ... + 18324.

It is an arithmetic number, because the mean of its divisors is an integer number (2886300).

Almost surely, 2^36876072 is an apocalyptic number.

It is an amenable number.

36876072 is an abundant number, since it is smaller than the sum of its proper divisors (55485528).

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

36876072 is a wasteful number, since it uses less digits than its factorization.

36876072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2865 (or 2861 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 39.

The square root of 36876072 is about 6072.5671671872. The cubic root of 36876072 is about 332.8497369652.

The spelling of 36876072 in words is "thirty-six million, eight hundred seventy-six thousand, seventy-two".