36882072 has 24 divisors (see below), whose sum is σ = 99889140. Its totient is φ = 12294000.

The previous prime is 36882071. The next prime is 36882077. The reversal of 36882072 is 27028863.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (24).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36882071) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 256054 + ... + 256197.

Almost surely, 2^36882072 is an apocalyptic number.

It is an amenable number.

36882072 is an abundant number, since it is smaller than the sum of its proper divisors (63007068).

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

36882072 is a wasteful number, since it uses less digits than its factorization.

36882072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 512263 (or 512256 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 36882072 is about 6073.0611720943. The cubic root of 36882072 is about 332.8677883285.

The spelling of 36882072 in words is "thirty-six million, eight hundred eighty-two thousand, seventy-two".