36772736 has 192 divisors, whose sum is σ = 102558960. Its totient is φ = 12902400.

The previous prime is 36772721. The next prime is 36772739. The reversal of 36772736 is 63727763.

It is a super-2 number, since 2×36772736² = 2704468225851392, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a junction number, because it is equal to n+sod(n) for n = 36772693 and 36772702.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36772739) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 896876 + ... + 896916.

Almost surely, 2^36772736 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 36772736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51279480).

36772736 is an abundant number, since it is smaller than the sum of its proper divisors (65786224).

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

36772736 is a wasteful number, since it uses less digits than its factorization.

36772736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 74 counting only the distinct ones).

The product of its digits is 222264, while the sum is 41.

The square root of 36772736 is about 6064.0527702189. The cubic root of 36772736 is about 332.5385366230.

It can be divided in two parts, 367727 and 36, that added together give a palindrome (367763).

The spelling of 36772736 in words is "thirty-six million, seven hundred seventy-two thousand, seven hundred thirty-six".