36672400 has 60 divisors (see below), whose sum is σ = 93305412. Its totient is φ = 13803520.

The previous prime is 36672397. The next prime is 36672401. The reversal of 36672400 is 427663.

It can be written as a sum of positive squares in 6 ways, for example, as 2985984 + 33686416 = 1728^2 + 5804^2 .

It is not an unprimeable number, because it can be changed into a prime (36672401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4104 + ... + 9496.

Almost surely, 2^36672400 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 36672400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46652706).

36672400 is an abundant number, since it is smaller than the sum of its proper divisors (56633012).

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

36672400 is a wasteful number, since it uses less digits than its factorization.

36672400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5428 (or 5417 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 28.

The square root of 36672400 is about 6055.7741041092. The cubic root of 36672400 is about 332.2358125326.

It can be divided in two parts, 36 and 672400, that multiplied together give a square (24206400 = 4920²).

The spelling of 36672400 in words is "thirty-six million, six hundred seventy-two thousand, four hundred".