35625672 has 96 divisors (see below), whose sum is σ = 101724480. Its totient is φ = 11249280.

The previous prime is 35625649. The next prime is 35625673. The reversal of 35625672 is 27652653.

It is a happy number.

35625672 is a `hidden beast` number, since 35 + 62 + 567 + 2 = 666.

35625672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (35625673) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 114397 + ... + 114707.

It is an arithmetic number, because the mean of its divisors is an integer number (1059630).

Almost surely, 2^35625672 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 35625672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50862240).

35625672 is an abundant number, since it is smaller than the sum of its proper divisors (66098808).

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

35625672 is a wasteful number, since it uses less digits than its factorization.

35625672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403 (or 396 counting only the distinct ones).

The product of its digits is 75600, while the sum is 36.

The square root of 35625672 is about 5968.7244868565. The cubic root of 35625672 is about 329.0442871742.

The spelling of 35625672 in words is "thirty-five million, six hundred twenty-five thousand, six hundred seventy-two".