712422144 has 216 divisors, whose sum is σ = 2370647552. Its totient is φ = 201553920.

The previous prime is 712422107. The next prime is 712422163. The reversal of 712422144 is 441224217.

It is a super-2 number, since 2×712422144² = 1015090622523113472, which contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 2628729 + ... + 2628999.

Almost surely, 2^712422144 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 712422144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1185323776).

712422144 is an abundant number, since it is smaller than the sum of its proper divisors (1658225408).

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

712422144 is a wasteful number, since it uses less digits than its factorization.

712422144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463 (or 446 counting only the distinct ones).

The product of its digits is 3584, while the sum is 27.

The square root of 712422144 is about 26691.2372137374. The cubic root of 712422144 is about 893.1254604076.

The spelling of 712422144 in words is "seven hundred twelve million, four hundred twenty-two thousand, one hundred forty-four".