712439520 has 384 divisors, whose sum is σ = 2601123840. Its totient is φ = 162570240.

The previous prime is 712439509. The next prime is 712439531. The reversal of 712439520 is 25934217.

It is an interprime number because it is at equal distance from previous prime (712439509) and next prime (712439531).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5609697 + ... + 5609823.

It is an arithmetic number, because the mean of its divisors is an integer number (6773760).

Almost surely, 2^712439520 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 712439520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1300561920).

712439520 is an abundant number, since it is smaller than the sum of its proper divisors (1888684320).

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

712439520 is a wasteful number, since it uses less digits than its factorization.

712439520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 712439520 is about 26691.5627118384. The cubic root of 712439520 is about 893.1327214685.

The spelling of 712439520 in words is "seven hundred twelve million, four hundred thirty-nine thousand, five hundred twenty".