36345672 has 80 divisors (see below), whose sum is σ = 111078000. Its totient is φ = 11011680.

The previous prime is 36345649. The next prime is 36345679. The reversal of 36345672 is 27654363.

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

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (36345679) 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, 4579 + ... + 9677.

It is an arithmetic number, because the mean of its divisors is an integer number (1388475).

Almost surely, 2^36345672 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 36345672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55539000).

36345672 is an abundant number, since it is smaller than the sum of its proper divisors (74732328).

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

36345672 is a wasteful number, since it uses less digits than its factorization.

36345672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5128 (or 5115 counting only the distinct ones).

The product of its digits is 90720, while the sum is 36.

The square root of 36345672 is about 6028.7371812014. The cubic root of 36345672 is about 331.2461970846.

The spelling of 36345672 in words is "thirty-six million, three hundred forty-five thousand, six hundred seventy-two".