636072 has 32 divisors (see below), whose sum is σ = 1684800. Its totient is φ = 199424.

The previous prime is 636071. The next prime is 636073. The reversal of 636072 is 270636.

It is an interprime number because it is at equal distance from previous prime (636071) and next prime (636073).

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

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 636072.

It is not an unprimeable number, because it can be changed into a prime (636071) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 372 + ... + 1187.

It is an arithmetic number, because the mean of its divisors is an integer number (52650).

2⁶³⁶⁰⁷² is an apocalyptic number.

It is an amenable number.

636072 is an abundant number, since it is smaller than the sum of its proper divisors (1048728).

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

636072 is a wasteful number, since it uses less digits than its factorization.

636072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1585 (or 1581 counting only the distinct ones).

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

The square root of 636072 is about 797.5412215052. The cubic root of 636072 is about 86.0007211045. Note that the first 3 decimals are identical.

The spelling of 636072 in words is "six hundred thirty-six thousand, seventy-two".