36307872 has 48 divisors (see below), whose sum is σ = 105900480. Its totient is φ = 12102336.

The previous prime is 36307853. The next prime is 36307883. The reversal of 36307872 is 27870363.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is an alternating number because its digits alternate between odd and even.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20148 + ... + 21875.

It is an arithmetic number, because the mean of its divisors is an integer number (2206260).

Almost surely, 2^36307872 is an apocalyptic number.

36307872 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

36307872 is an abundant number, since it is smaller than the sum of its proper divisors (69592608).

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

36307872 is a wasteful number, since it uses less digits than its factorization.

36307872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42042 (or 42028 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 36307872 is about 6025.6013807752. The cubic root of 36307872 is about 331.1313237148.

The spelling of 36307872 in words is "thirty-six million, three hundred seven thousand, eight hundred seventy-two".