36782172 has 72 divisors (see below), whose sum is σ = 106893696. Its totient is φ = 10446624.

The previous prime is 36782167. The next prime is 36782183. The reversal of 36782172 is 27128763.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

Its product of digits (28224) is a multiple of the sum of its prime divisors (882).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56883 + ... + 57525.

Almost surely, 2^36782172 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 36782172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53446848).

36782172 is an abundant number, since it is smaller than the sum of its proper divisors (70111524).

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

36782172 is a wasteful number, since it uses less digits than its factorization.

36782172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 887 (or 882 counting only the distinct ones).

The product of its digits is 28224, while the sum is 36.

The square root of 36782172 is about 6064.8307478445. The cubic root of 36782172 is about 332.5669776695.

The spelling of 36782172 in words is "thirty-six million, seven hundred eighty-two thousand, one hundred seventy-two".