36772561 has 16 divisors (see below), whose sum is σ = 45045504. Its totient is φ = 29329344.

The previous prime is 36772511. The next prime is 36772579. The reversal of 36772561 is 16527763.

It is a cyclic number.

It is not a de Polignac number, because 36772561 - 2¹³ = 36764369 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a self number, because there is not a number n which added to its sum of digits gives 36772561.

It is not an unprimeable number, because it can be changed into a prime (36772511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2871 + ... + 9043.

It is an arithmetic number, because the mean of its divisors is an integer number (2815344).

Almost surely, 2^36772561 is an apocalyptic number.

It is an amenable number.

36772561 is a deficient number, since it is larger than the sum of its proper divisors (8272943).

36772561 is a wasteful number, since it uses less digits than its factorization.

36772561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6240.

The product of its digits is 52920, while the sum is 37.

The square root of 36772561 is about 6064.0383409078. The cubic root of 36772561 is about 332.5380091096.

The spelling of 36772561 in words is "thirty-six million, seven hundred seventy-two thousand, five hundred sixty-one".