36391872 has 56 divisors (see below), whose sum is σ = 105046272. Its totient is φ = 11027200.

The previous prime is 36391853. The next prime is 36391879. The reversal of 36391872 is 27819363.

It is a self number, because there is not a number n which added to its sum of digits gives 36391872.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36391879) 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 7 ways as a sum of consecutive naturals, for example, 6504 + ... + 10727.

Almost surely, 2^36391872 is an apocalyptic number.

36391872 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

36391872 is an abundant number, since it is smaller than the sum of its proper divisors (68654400).

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

36391872 is a wasteful number, since it uses less digits than its factorization.

36391872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17257 (or 17247 counting only the distinct ones).

The product of its digits is 54432, while the sum is 39.

The square root of 36391872 is about 6032.5676125511. The cubic root of 36391872 is about 331.3864897593.

It can be divided in two parts, 363 and 91872, that added together give a triangular number (92235 = T₄₂₉).

The spelling of 36391872 in words is "thirty-six million, three hundred ninety-one thousand, eight hundred seventy-two".