712472320 has 144 divisors (see below), whose sum is σ = 1968519168. Its totient is φ = 242012160.

The previous prime is 712472297. The next prime is 712472347. The reversal of 712472320 is 23274217.

712472320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1173457 + ... + 1174063.

It is an arithmetic number, because the mean of its divisors is an integer number (13670272).

Almost surely, 2^712472320 is an apocalyptic number.

712472320 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 712472320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (984259584).

712472320 is an abundant number, since it is smaller than the sum of its proper divisors (1256046848).

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

712472320 is a wasteful number, since it uses less digits than its factorization.

712472320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 766 (or 752 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 28.

The square root of 712472320 is about 26692.1771311371. The cubic root of 712472320 is about 893.1464275694.

The spelling of 712472320 in words is "seven hundred twelve million, four hundred seventy-two thousand, three hundred twenty".