36792672 has 48 divisors (see below), whose sum is σ = 110380032. Its totient is φ = 10512000.

The previous prime is 36792671. The next prime is 36792713. The reversal of 36792672 is 27629763.

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

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36792671) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26704 + ... + 28047.

It is an arithmetic number, because the mean of its divisors is an integer number (2299584).

Almost surely, 2^36792672 is an apocalyptic number.

36792672 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

36792672 is an abundant number, since it is smaller than the sum of its proper divisors (73587360).

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

36792672 is a wasteful number, since it uses less digits than its factorization.

36792672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54771 (or 54763 counting only the distinct ones).

The product of its digits is 190512, while the sum is 42.

The square root of 36792672 is about 6065.6963326563. The cubic root of 36792672 is about 332.5986200010.

It can be divided in two parts, 367 and 92672, that added together give a palindrome (93039).

The spelling of 36792672 in words is "thirty-six million, seven hundred ninety-two thousand, six hundred seventy-two".