35625200 has 180 divisors, whose sum is σ = 101297088. Its totient is φ = 11980800.

The previous prime is 35625157. The next prime is 35625211. The reversal of 35625200 is 252653.

It is a happy number.

35625200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 1149185 + ... + 1149215.

Almost surely, 2^35625200 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 35625200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50648544).

35625200 is an abundant number, since it is smaller than the sum of its proper divisors (65671888).

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

35625200 is a wasteful number, since it uses less digits than its factorization.

35625200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 23.

The square root of 35625200 is about 5968.6849472895. The cubic root of 35625200 is about 329.0428340124.

Adding to 35625200 its reverse (252653), we get a palindrome (35877853).

The spelling of 35625200 in words is "thirty-five million, six hundred twenty-five thousand, two hundred".