712914048 has 640 divisors, whose sum is σ = 2843596800. Its totient is φ = 171694080.

The previous prime is 712914019. The next prime is 712914079. The reversal of 712914048 is 840419217.

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

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 79 ways as a sum of consecutive naturals, for example, 15168361 + ... + 15168407.

It is an arithmetic number, because the mean of its divisors is an integer number (4443120).

Almost surely, 2^712914048 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 712914048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1421798400).

712914048 is an abundant number, since it is smaller than the sum of its proper divisors (2130682752).

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

712914048 is a wasteful number, since it uses less digits than its factorization.

712914048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 712914048 is about 26700.4503332809. The cubic root of 712914048 is about 893.3309710093.

The spelling of 712914048 in words is "seven hundred twelve million, nine hundred fourteen thousand, forty-eight".