712923120 has 720 divisors, whose sum is σ = 3171796992. Its totient is φ = 145566720.

The previous prime is 712923109. The next prime is 712923143. The reversal of 712923120 is 21329217.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 22997505 + ... + 22997535.

Almost surely, 2^712923120 is an apocalyptic number.

712923120 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 712923120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1585898496).

712923120 is an abundant number, since it is smaller than the sum of its proper divisors (2458873872).

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

712923120 is a wasteful number, since it uses less digits than its factorization.

712923120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 712923120 is about 26700.6202175155. The cubic root of 712923120 is about 893.3347602759.

The spelling of 712923120 in words is "seven hundred twelve million, nine hundred twenty-three thousand, one hundred twenty".