35868672 has 156 divisors (see below), whose sum is σ = 119260960. Its totient is φ = 10174464.

The previous prime is 35868667. The next prime is 35868673. The reversal of 35868672 is 27686853.

35868672 is a `hidden beast` number, since 3 + 586 + 8 + 67 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35868673) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 257979 + ... + 258117.

Almost surely, 2^35868672 is an apocalyptic number.

35868672 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 35868672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59630480).

35868672 is an abundant number, since it is smaller than the sum of its proper divisors (83392288).

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

35868672 is a wasteful number, since it uses less digits than its factorization.

35868672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 151 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 35868672 is about 5989.0460008252. The cubic root of 35868672 is about 329.7907213026.

The spelling of 35868672 in words is "thirty-five million, eight hundred sixty-eight thousand, six hundred seventy-two".