35972064 has 144 divisors (see below), whose sum is σ = 109090800. Its totient is φ = 11225088.

The previous prime is 35972039. The next prime is 35972077. The reversal of 35972064 is 46027953.

35972064 is a `hidden beast` number, since 3 + 597 + 2 + 0 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 492732 + ... + 492804.

It is an arithmetic number, because the mean of its divisors is an integer number (757575).

Almost surely, 2^35972064 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 35972064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54545400).

35972064 is an abundant number, since it is smaller than the sum of its proper divisors (73118736).

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

35972064 is a wasteful number, since it uses less digits than its factorization.

35972064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 35972064 is about 5997.6715481927. The cubic root of 35972064 is about 330.1072929357.

The spelling of 35972064 in words is "thirty-five million, nine hundred seventy-two thousand, sixty-four".