36645672 has 64 divisors (see below), whose sum is σ = 105177600. Its totient is φ = 10422720.

The previous prime is 36645671. The next prime is 36645673. The reversal of 36645672 is 27654663.

It is an interprime number because it is at equal distance from previous prime (36645671) and next prime (36645673).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 36645672.

It is not an unprimeable number, because it can be changed into a prime (36645671) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55279 + ... + 55937.

It is an arithmetic number, because the mean of its divisors is an integer number (1643400).

Almost surely, 2^36645672 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 36645672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52588800).

36645672 is an abundant number, since it is smaller than the sum of its proper divisors (68531928).

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

36645672 is a wasteful number, since it uses less digits than its factorization.

36645672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1006 (or 1002 counting only the distinct ones).

The product of its digits is 181440, while the sum is 39.

The square root of 36645672 is about 6053.5668824256. The cubic root of 36645672 is about 332.1550782745.

The spelling of 36645672 in words is "thirty-six million, six hundred forty-five thousand, six hundred seventy-two".