72312 has 32 divisors (see below), whose sum is σ = 190080. Its totient is φ = 22880.

The previous prime is 72307. The next prime is 72313. The reversal of 72312 is 21327.

It is a hoax number, since the sum of its digits (15) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 72291 and 72300.

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, 487 + ... + 617.

It is an arithmetic number, because the mean of its divisors is an integer number (5940).

2⁷²³¹² 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 72312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95040).

72312 is an abundant number, since it is smaller than the sum of its proper divisors (117768).

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

72312 is a wasteful number, since it uses less digits than its factorization.

72312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 159 counting only the distinct ones).

The product of its digits is 84, while the sum is 15.

The square root of 72312 is about 268.9089065092. The cubic root of 72312 is about 41.6616811813.

Adding to 72312 its sum of digits (15), we get a palindrome (72327).

Adding to 72312 its reverse (21327), we get a palindrome (93639).

The spelling of 72312 in words is "seventy-two thousand, three hundred twelve", and thus it is an iban number.