36264672 has 120 divisors (see below), whose sum is σ = 113064336. Its totient is φ = 11363328.

The previous prime is 36264661. The next prime is 36264677. The reversal of 36264672 is 27646263.

It is a happy number.

36264672 is a `hidden beast` number, since 3 + 6 + 2 + 646 + 7 + 2 = 666.

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 (36264677) 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 19 ways as a sum of consecutive naturals, for example, 43653 + ... + 44475.

Almost surely, 2^36264672 is an apocalyptic number.

36264672 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 36264672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56532168).

36264672 is an abundant number, since it is smaller than the sum of its proper divisors (76799664).

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

36264672 is a wasteful number, since it uses less digits than its factorization.

36264672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 862 (or 845 counting only the distinct ones).

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

The square root of 36264672 is about 6022.0156094119. The cubic root of 36264672 is about 330.9999421935. Note that the first 4 decimals are identical.

The spelling of 36264672 in words is "thirty-six million, two hundred sixty-four thousand, six hundred seventy-two".