36272664 has 64 divisors (see below), whose sum is σ = 101270400. Its totient is φ = 12029472.

The previous prime is 36272657. The next prime is 36272671. The reversal of 36272664 is 46627263.

It is a happy number.

36272664 is a `hidden beast` number, since 3 + 627 + 26 + 6 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (36272657) and next prime (36272671).

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

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 15 ways as a sum of consecutive naturals, for example, 66039 + ... + 66585.

It is an arithmetic number, because the mean of its divisors is an integer number (1582350).

Almost surely, 2^36272664 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 36272664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50635200).

36272664 is an abundant number, since it is smaller than the sum of its proper divisors (64997736).

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

36272664 is a wasteful number, since it uses less digits than its factorization.

36272664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 869 (or 859 counting only the distinct ones).

The product of its digits is 72576, while the sum is 36.

The square root of 36272664 is about 6022.6791380581. The cubic root of 36272664 is about 331.0242556377.

The spelling of 36272664 in words is "thirty-six million, two hundred seventy-two thousand, six hundred sixty-four".