36117972 has 72 divisors (see below), whose sum is σ = 100289280. Its totient is φ = 10869120.

The previous prime is 36117959. The next prime is 36117997. The reversal of 36117972 is 27971163.

It is a happy number.

36117972 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 88104 + ... + 88512.

Almost surely, 2^36117972 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 36117972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50144640).

36117972 is an abundant number, since it is smaller than the sum of its proper divisors (64171308).

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

36117972 is a wasteful number, since it uses less digits than its factorization.

36117972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 653 (or 648 counting only the distinct ones).

The product of its digits is 15876, while the sum is 36.

The square root of 36117972 is about 6009.8229591228. The cubic root of 36117972 is about 330.5530121416.

The spelling of 36117972 in words is "thirty-six million, one hundred seventeen thousand, nine hundred seventy-two".