712772424 has 144 divisors (see below), whose sum is σ = 2418490620. Its totient is φ = 187971840.

The previous prime is 712772371. The next prime is 712772483. The reversal of 712772424 is 424277217.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 711288900 + 1483524 = 26670^2 + 1218^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 38094 + ... + 53634.

Almost surely, 2^712772424 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 712772424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1209245310).

712772424 is an abundant number, since it is smaller than the sum of its proper divisors (1705718196).

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

712772424 is a wasteful number, since it uses less digits than its factorization.

712772424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15580 (or 15566 counting only the distinct ones).

The product of its digits is 43904, while the sum is 36.

The square root of 712772424 is about 26697.7981114548. The cubic root of 712772424 is about 893.2718121788.

The spelling of 712772424 in words is "seven hundred twelve million, seven hundred seventy-two thousand, four hundred twenty-four".