73712 has 20 divisors (see below), whose sum is σ = 151776. Its totient is φ = 34560.

The previous prime is 73709. The next prime is 73721. The reversal of 73712 is 21737.

It is a super-3 number, since 3×73712³ = 1201533377040384, which contains 333 as substring.

It is a hoax number, since the sum of its digits (20) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 137 + ... + 407.

2⁷³⁷¹² is an apocalyptic number.

It is a pronic number, being equal to 271×272.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75888).

73712 is an abundant number, since it is smaller than the sum of its proper divisors (78064).

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

73712 is a wasteful number, since it uses less digits than its factorization.

73712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 290 counting only the distinct ones).

The product of its digits is 294, while the sum is 20.

The square root of 73712 is about 271.4995395945. The cubic root of 73712 is about 41.9288288224.

The spelling of 73712 in words is "seventy-three thousand, seven hundred twelve", and thus it is an iban number.