712173461472 has 288 divisors, whose sum is σ = 2288256778080. Its totient is φ = 208120872960.

The previous prime is 712173461399. The next prime is 712173461479. The reversal of 712173461472 is 274164371217.

712173461472 is a `hidden beast` number, since 7 + 1 + 2 + 173 + 4 + 6 + 1 + 472 = 666.

712173461472 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (712173461479) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 86079928 + ... + 86088200.

It is an arithmetic number, because the mean of its divisors is an integer number (7945336035).

Almost surely, 2^712173461472 is an apocalyptic number.

712173461472 is a gapful number since it is divisible by the number (72) 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 712173461472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1144128389040).

712173461472 is an abundant number, since it is smaller than the sum of its proper divisors (1576083316608).

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

712173461472 is a wasteful number, since it uses less digits than its factorization.

712173461472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9266 (or 9255 counting only the distinct ones).

The product of its digits is 395136, while the sum is 45.

The spelling of 712173461472 in words is "seven hundred twelve billion, one hundred seventy-three million, four hundred sixty-one thousand, four hundred seventy-two".