712440288 has 288 divisors, whose sum is σ = 2420361216. Its totient is φ = 194586624.

The previous prime is 712440251. The next prime is 712440293. The reversal of 712440288 is 882044217.

It is a tau number, because it is divible by the number of its divisors (288).

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

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 47 ways as a sum of consecutive naturals, for example, 6916845 + ... + 6916947.

It is an arithmetic number, because the mean of its divisors is an integer number (8404032).

Almost surely, 2^712440288 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 712440288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1210180608).

712440288 is an abundant number, since it is smaller than the sum of its proper divisors (1707920928).

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

712440288 is a wasteful number, since it uses less digits than its factorization.

712440288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The square root of 712440288 is about 26691.5770984032. The cubic root of 712440288 is about 893.1330423967.

The spelling of 712440288 in words is "seven hundred twelve million, four hundred forty thousand, two hundred eighty-eight".