36772880 has 40 divisors (see below), whose sum is σ = 86023512. Its totient is φ = 14618624.

The previous prime is 36772877. The next prime is 36772889. The reversal of 36772880 is 8827763.

It can be written as a sum of positive squares in 4 ways, for example, as 13075456 + 23697424 = 3616^2 + 4868^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (36772889) 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, 12512 + ... + 15168.

Almost surely, 2^36772880 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36772880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43011756).

36772880 is an abundant number, since it is smaller than the sum of its proper divisors (49250632).

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

36772880 is a wasteful number, since it uses less digits than its factorization.

36772880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2843 (or 2837 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 41.

The square root of 36772880 is about 6064.0646434549. The cubic root of 36772880 is about 332.5389706900.

The spelling of 36772880 in words is "thirty-six million, seven hundred seventy-two thousand, eight hundred eighty".