36775872 has 126 divisors (see below), whose sum is σ = 122715528. Its totient is φ = 10499328.

The previous prime is 36775859. The next prime is 36775883. The reversal of 36775872 is 27857763.

36775872 is a `hidden beast` number, since 3 + 67 + 7 + 587 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (126).

It is a super-2 number, since 2×36775872² = 2704929522720768, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 27573 + ... + 28875.

Almost surely, 2^36775872 is an apocalyptic number.

36775872 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 36775872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61357764).

36775872 is an abundant number, since it is smaller than the sum of its proper divisors (85939656).

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

36775872 is a wasteful number, since it uses less digits than its factorization.

36775872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1335 (or 1315 counting only the distinct ones).

The product of its digits is 493920, while the sum is 45.

The square root of 36775872 is about 6064.3113376541. The cubic root of 36775872 is about 332.5479893800.

The spelling of 36775872 in words is "thirty-six million, seven hundred seventy-five thousand, eight hundred seventy-two".