72700 has 18 divisors (see below), whose sum is σ = 157976. Its totient is φ = 29040.

The previous prime is 72689. The next prime is 72701. The reversal of 72700 is 727.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72701) by changing a digit.

72700 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 5 ways as a sum of consecutive naturals, for example, 264 + ... + 463.

2⁷²⁷⁰⁰ is an apocalyptic number.

It is an amenable number.

72700 is an abundant number, since it is smaller than the sum of its proper divisors (85276).

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

72700 is a wasteful number, since it uses less digits than its factorization.

72700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 741 (or 734 counting only the distinct ones).

The product of its (nonzero) digits is 98, while the sum is 16.

The square root of 72700 is about 269.6293752543. The cubic root of 72700 is about 41.7360621361.

Multiplying 72700 by its reverse (727), we get a square (52852900 = 7270²).

72700 divided by its reverse (727) gives a square (100 = 10²).

The spelling of 72700 in words is "seventy-two thousand, seven hundred", and thus it is an iban number.