36772672 has 56 divisors (see below), whose sum is σ = 76617576. Its totient is φ = 17491968.

The previous prime is 36772661. The next prime is 36772679. The reversal of 36772672 is 27627763.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 26378496 + 10394176 = 5136^2 + 3224^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36772679) 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, 125358 + ... + 125650.

It is an arithmetic number, because the mean of its divisors is an integer number (1368171).

Almost surely, 2^36772672 is an apocalyptic number.

36772672 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 36772672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38308788).

36772672 is an abundant number, since it is smaller than the sum of its proper divisors (39844904).

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

36772672 is a wasteful number, since it uses less digits than its factorization.

36772672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395 (or 385 counting only the distinct ones).

The product of its digits is 148176, while the sum is 40.

The square root of 36772672 is about 6064.0474932177. The cubic root of 36772672 is about 332.5383437040.

The spelling of 36772672 in words is "thirty-six million, seven hundred seventy-two thousand, six hundred seventy-two".