36723600 has 135 divisors (see below), whose sum is σ = 128715379. Its totient is φ = 9696000.

The previous prime is 36723593. The next prime is 36723601. The reversal of 36723600 is 632763.

The square root of 36723600 is 6060.

It is a perfect power (a square), and thus also a powerful number.

36723600 is a `hidden beast` number, since 36 + 7 + 23 + 600 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6780816 + 29942784 = 2604^2 + 5472^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (36723601) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 363550 + ... + 363650.

Almost surely, 2^36723600 is an apocalyptic number.

36723600 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

36723600 is the 6060-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36723600

36723600 is an abundant number, since it is smaller than the sum of its proper divisors (91991779).

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

36723600 is a wasteful number, since it uses less digits than its factorization.

36723600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 27.

The cubic root of 36723600 is about 332.3903571253.

The spelling of 36723600 in words is "thirty-six million, seven hundred twenty-three thousand, six hundred".