36025200 has 90 divisors (see below), whose sum is σ = 125029944. Its totient is φ = 9605760.

The previous prime is 36025189. The next prime is 36025211. The reversal of 36025200 is 252063.

It is an interprime number because it is at equal distance from previous prime (36025189) and next prime (36025211).

It is a tau number, because it is divible by the number of its divisors (90).

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1404 + ... + 8603.

Almost surely, 2^36025200 is an apocalyptic number.

36025200 is a gapful number since it is divisible by the number (30) 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 36025200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62514972).

36025200 is an abundant number, since it is smaller than the sum of its proper divisors (89004744).

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

36025200 is a wasteful number, since it uses less digits than its factorization.

36025200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10031 (or 10017 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 36025200 is about 6002.0996326286. The cubic root of 36025200 is about 330.2697518884.

Adding to 36025200 its reverse (252063), we get a palindrome (36277263).

The spelling of 36025200 in words is "thirty-six million, twenty-five thousand, two hundred".