36646272 has 96 divisors (see below), whose sum is σ = 113611680. Its totient is φ = 11271168.

The previous prime is 36646249. The next prime is 36646279. The reversal of 36646272 is 27264663.

It is a happy number.

36646272 is a `hidden beast` number, since 3 + 6 + 646 + 2 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36646279) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 13753 + ... + 16199.

It is an arithmetic number, because the mean of its divisors is an integer number (1183455).

Almost surely, 2^36646272 is an apocalyptic number.

36646272 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 36646272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56805840).

36646272 is an abundant number, since it is smaller than the sum of its proper divisors (76965408).

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

36646272 is a wasteful number, since it uses less digits than its factorization.

36646272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2480 (or 2465 counting only the distinct ones).

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

The square root of 36646272 is about 6053.6164397821. The cubic root of 36646272 is about 332.1568910576.

The spelling of 36646272 in words is "thirty-six million, six hundred forty-six thousand, two hundred seventy-two".