36737136 has 120 divisors (see below), whose sum is σ = 111711600. Its totient is φ = 11225088.

The previous prime is 36737087. The next prime is 36737137. The reversal of 36737136 is 63173763.

It is a super-2 number, since 2×36737136² = 2699234322964992, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 36737136.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36737137) 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, 105090 + ... + 105438.

It is an arithmetic number, because the mean of its divisors is an integer number (930930).

Almost surely, 2^36737136 is an apocalyptic number.

36737136 is a gapful number since it is divisible by the number (36) 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 36737136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55855800).

36737136 is an abundant number, since it is smaller than the sum of its proper divisors (74974464).

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

36737136 is a wasteful number, since it uses less digits than its factorization.

36737136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423 (or 414 counting only the distinct ones).

The product of its digits is 47628, while the sum is 36.

The square root of 36737136 is about 6061.1167287885. The cubic root of 36737136 is about 332.4311908417.

The spelling of 36737136 in words is "thirty-six million, seven hundred thirty-seven thousand, one hundred thirty-six".