36637272 has 160 divisors (see below), whose sum is σ = 120748320. Its totient is φ = 10160640.

The previous prime is 36637267. The next prime is 36637283. The reversal of 36637272 is 27273663.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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 39 ways as a sum of consecutive naturals, for example, 185878 + ... + 186074.

It is an arithmetic number, because the mean of its divisors is an integer number (754677).

Almost surely, 2^36637272 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 36637272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60374160).

36637272 is an abundant number, since it is smaller than the sum of its proper divisors (84111048).

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

36637272 is a wasteful number, since it uses less digits than its factorization.

36637272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 250 counting only the distinct ones).

The product of its digits is 63504, while the sum is 36.

The square root of 36637272 is about 6052.8730368314. The cubic root of 36637272 is about 332.1296972339.

The spelling of 36637272 in words is "thirty-six million, six hundred thirty-seven thousand, two hundred seventy-two".