36872192 has 56 divisors (see below), whose sum is σ = 84405216. Its totient is φ = 15777792.

The previous prime is 36872191. The next prime is 36872207. The reversal of 36872192 is 29127863.

It is a tau number, because it is divible by the number of its divisors (56).

It is not an unprimeable number, because it can be changed into a prime (36872191) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 57023 + ... + 57665.

It is an arithmetic number, because the mean of its divisors is an integer number (1507236).

Almost surely, 2^36872192 is an apocalyptic number.

36872192 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36872192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42202608).

36872192 is an abundant number, since it is smaller than the sum of its proper divisors (47533024).

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

36872192 is an frugal number, since it uses more digits than its factorization.

36872192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 676 (or 652 counting only the distinct ones).

The product of its digits is 36288, while the sum is 38.

The square root of 36872192 is about 6072.2476892828. The cubic root of 36872192 is about 332.8380627077.

The spelling of 36872192 in words is "thirty-six million, eight hundred seventy-two thousand, one hundred ninety-two".