36502272 has 72 divisors (see below), whose sum is σ = 107964080. Its totient is φ = 12165120.

The previous prime is 36502243. The next prime is 36502289. The reversal of 36502272 is 27220563.

36502272 is a `hidden beast` number, since 3 + 650 + 2 + 2 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×36502272² = 2664831722323968, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 4272 + ... + 9552.

Almost surely, 2^36502272 is an apocalyptic number.

36502272 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 36502272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53982040).

36502272 is an abundant number, since it is smaller than the sum of its proper divisors (71461808).

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

36502272 is an equidigital number, since it uses as much as digits as its factorization.

36502272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5306 (or 5286 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 36502272 is about 6041.7110159292. The cubic root of 36502272 is about 331.7212543951.

The spelling of 36502272 in words is "thirty-six million, five hundred two thousand, two hundred seventy-two".