36072600 has 96 divisors (see below), whose sum is σ = 113832000. Its totient is φ = 9447040.

The previous prime is 36072587. The next prime is 36072601. The reversal of 36072600 is 627063.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36072601) by changing a digit.

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, 34891 + ... + 35909.

It is an arithmetic number, because the mean of its divisors is an integer number (1185750).

Almost surely, 2^36072600 is an apocalyptic number.

36072600 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 36072600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56916000).

36072600 is an abundant number, since it is smaller than the sum of its proper divisors (77759400).

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

36072600 is a wasteful number, since it uses less digits than its factorization.

36072600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1097 (or 1088 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 24.

The square root of 36072600 is about 6006.0469528634. The cubic root of 36072600 is about 330.4145387353.

Adding to 36072600 its reverse (627063), we get a palindrome (36699663).

The spelling of 36072600 in words is "thirty-six million, seventy-two thousand, six hundred".