712543920 has 320 divisors, whose sum is σ = 2564835840. Its totient is φ = 161996800.

The previous prime is 712543907. The next prime is 712543939. The reversal of 712543920 is 29345217.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3138847 + ... + 3139073.

It is an arithmetic number, because the mean of its divisors is an integer number (8015112).

Almost surely, 2^712543920 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 712543920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1282417920).

712543920 is an abundant number, since it is smaller than the sum of its proper divisors (1852291920).

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

712543920 is a wasteful number, since it uses less digits than its factorization.

712543920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324 (or 318 counting only the distinct ones).

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

The square root of 712543920 is about 26693.5183143774. The cubic root of 712543920 is about 893.1763455233.

The spelling of 712543920 in words is "seven hundred twelve million, five hundred forty-three thousand, nine hundred twenty".