72310 has 16 divisors (see below), whose sum is σ = 148896. Its totient is φ = 24768.

The previous prime is 72307. The next prime is 72313. The reversal of 72310 is 1327.

It is an interprime number because it is at equal distance from previous prime (72307) and next prime (72313).

It is a super-2 number, since 2×72310² = 10457472200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72313) 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, 447 + ... + 586.

It is an arithmetic number, because the mean of its divisors is an integer number (9306).

2⁷²³¹⁰ is an apocalyptic number.

72310 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

72310 is an abundant number, since it is smaller than the sum of its proper divisors (76586).

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 (74448).

72310 is a wasteful number, since it uses less digits than its factorization.

72310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1047.

The product of its (nonzero) digits is 42, while the sum is 13.

The square root of 72310 is about 268.9051877521. The cubic root of 72310 is about 41.6612970858.

Adding to 72310 its reverse (1327), we get a palindrome (73637).

The spelling of 72310 in words is "seventy-two thousand, three hundred ten", and thus it is an iban number.