612872 has 32 divisors (see below), whose sum is σ = 1270080. Its totient is φ = 275520.

The previous prime is 612869. The next prime is 612877. The reversal of 612872 is 278216.

It is a super-2 number, since 2×612872² = 751224176768, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 612872.

It is not an unprimeable number, because it can be changed into a prime (612877) 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, 7343 + ... + 7425.

It is an arithmetic number, because the mean of its divisors is an integer number (39690).

2⁶¹²⁸⁷² 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 612872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (635040).

612872 is an abundant number, since it is smaller than the sum of its proper divisors (657208).

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

612872 is a wasteful number, since it uses less digits than its factorization.

612872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 169 counting only the distinct ones).

The product of its digits is 1344, while the sum is 26.

The square root of 612872 is about 782.8614181322. The cubic root of 612872 is about 84.9421521046.

The spelling of 612872 in words is "six hundred twelve thousand, eight hundred seventy-two".