36972192 has 24 divisors (see below), whose sum is σ = 97052256. Its totient is φ = 12324032.

The previous prime is 36972179. The next prime is 36972253. The reversal of 36972192 is 29127963.

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

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 36972192.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 192468 + ... + 192659.

It is an arithmetic number, because the mean of its divisors is an integer number (4043844).

Almost surely, 2^36972192 is an apocalyptic number.

36972192 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

36972192 is an abundant number, since it is smaller than the sum of its proper divisors (60080064).

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

36972192 is a wasteful number, since it uses less digits than its factorization.

36972192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385140 (or 385132 counting only the distinct ones).

The product of its digits is 40824, while the sum is 39.

The square root of 36972192 is about 6080.4762971333. The cubic root of 36972192 is about 333.1386845799.

The spelling of 36972192 in words is "thirty-six million, nine hundred seventy-two thousand, one hundred ninety-two".