36444672 has 120 divisors (see below), whose sum is σ = 114903360. Its totient is φ = 11028480.

The previous prime is 36444671. The next prime is 36444691. The reversal of 36444672 is 27644463.

36444672 is a `hidden beast` number, since 3 + 644 + 4 + 6 + 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 (36444671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 50329 + ... + 51047.

It is an arithmetic number, because the mean of its divisors is an integer number (957528).

Almost surely, 2^36444672 is an apocalyptic number.

36444672 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 36444672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57451680).

36444672 is an abundant number, since it is smaller than the sum of its proper divisors (78458688).

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

36444672 is a wasteful number, since it uses less digits than its factorization.

36444672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 754 (or 735 counting only the distinct ones).

The product of its digits is 96768, while the sum is 36.

The square root of 36444672 is about 6036.9422723760. The cubic root of 36444672 is about 331.5466789301.

The spelling of 36444672 in words is "thirty-six million, four hundred forty-four thousand, six hundred seventy-two".