72730 has 16 divisors (see below), whose sum is σ = 149760. Its totient is φ = 24912.

The previous prime is 72727. The next prime is 72733. The reversal of 72730 is 3727.

It is an interprime number because it is at equal distance from previous prime (72727) and next prime (72733).

It is a junction number, because it is equal to n+sod(n) for n = 72698 and 72707.

It is not an unprimeable number, because it can be changed into a prime (72733) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 450 + ... + 589.

It is an arithmetic number, because the mean of its divisors is an integer number (9360).

2⁷²⁷³⁰ is an apocalyptic number.

72730 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

72730 is an abundant number, since it is smaller than the sum of its proper divisors (77030).

It is a weird number, because it is abundant, but not a pseudoperfect number.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74880).

72730 is a wasteful number, since it uses less digits than its factorization.

72730 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1053.

The product of its (nonzero) digits is 294, while the sum is 19.

The square root of 72730 is about 269.6850014369. The cubic root of 72730 is about 41.7418022079.

It can be divided in two parts, 727 and 30, that added together give a palindrome (757).

The spelling of 72730 in words is "seventy-two thousand, seven hundred thirty".