36725400 has 120 divisors (see below), whose sum is σ = 127609020. Its totient is φ = 9789120.

The previous prime is 36725399. The next prime is 36725407. The reversal of 36725400 is 452763.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a hoax number, since the sum of its digits (27) 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 (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36725407) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 15067 + ... + 17333.

Almost surely, 2^36725400 is an apocalyptic number.

36725400 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 36725400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63804510).

36725400 is an abundant number, since it is smaller than the sum of its proper divisors (90883620).

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

36725400 is a wasteful number, since it uses less digits than its factorization.

36725400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2295 (or 2277 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 36725400 is about 6060.1485130317. The cubic root of 36725400 is about 332.3957877192.

The spelling of 36725400 in words is "thirty-six million, seven hundred twenty-five thousand, four hundred".