712950 has 72 divisors (see below), whose sum is σ = 2077992. Its totient is φ = 161280.

The previous prime is 712939. The next prime is 712951. The reversal of 712950 is 59217.

It is a self number, because there is not a number n which added to its sum of digits gives 712950.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (712951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7302 + ... + 7398.

It is an arithmetic number, because the mean of its divisors is an integer number (28861).

2⁷¹²⁹⁵⁰ is an apocalyptic number.

712950 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 712950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1038996).

712950 is an abundant number, since it is smaller than the sum of its proper divisors (1365042).

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

712950 is a wasteful number, since it uses less digits than its factorization.

712950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 24.

The square root of 712950 is about 844.3636657270. The cubic root of 712950 is about 89.3345987544.

The spelling of 712950 in words is "seven hundred twelve thousand, nine hundred fifty".