727812 has 48 divisors (see below), whose sum is σ = 1975680. Its totient is φ = 231264.

The previous prime is 727807. The next prime is 727817. The reversal of 727812 is 218727.

It is an interprime number because it is at equal distance from previous prime (727807) and next prime (727817).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (727817) by changing a digit.

727812 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2338 + ... + 2630.

It is an arithmetic number, because the mean of its divisors is an integer number (41160).

2⁷²⁷⁸¹² 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 727812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (987840).

727812 is an abundant number, since it is smaller than the sum of its proper divisors (1247868).

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

727812 is a wasteful number, since it uses less digits than its factorization.

727812 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329 (or 321 counting only the distinct ones).

The product of its digits is 1568, while the sum is 27.

The square root of 727812 is about 853.1189834953. The cubic root of 727812 is about 89.9510845301.

The spelling of 727812 in words is "seven hundred twenty-seven thousand, eight hundred twelve".