36475272 has 96 divisors (see below), whose sum is σ = 106142400. Its totient is φ = 11721024.

The previous prime is 36475267. The next prime is 36475279. The reversal of 36475272 is 27257463.

It is a happy number.

36475272 is a `hidden beast` number, since 3 + 647 + 5 + 2 + 7 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (36475279) 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, 56053 + ... + 56699.

It is an arithmetic number, because the mean of its divisors is an integer number (1105650).

Almost surely, 2^36475272 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 36475272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53071200).

36475272 is an abundant number, since it is smaller than the sum of its proper divisors (69667128).

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

36475272 is a wasteful number, since it uses less digits than its factorization.

36475272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 697 (or 681 counting only the distinct ones).

The product of its digits is 70560, while the sum is 36.

The square root of 36475272 is about 6039.4761362224. The cubic root of 36475272 is about 331.6394450301.

The spelling of 36475272 in words is "thirty-six million, four hundred seventy-five thousand, two hundred seventy-two".