712267020 has 288 divisors, whose sum is σ = 2446936128. Its totient is φ = 173187072.

The previous prime is 712267009. The next prime is 712267033. The reversal of 712267020 is 20762217.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3056824 + ... + 3057056.

It is an arithmetic number, because the mean of its divisors is an integer number (8496306).

Almost surely, 2^712267020 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 712267020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1223468064).

712267020 is an abundant number, since it is smaller than the sum of its proper divisors (1734669108).

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

712267020 is a wasteful number, since it uses less digits than its factorization.

712267020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 712267020 is about 26688.3311580174. The cubic root of 712267020 is about 893.0606321537.

The spelling of 712267020 in words is "seven hundred twelve million, two hundred sixty-seven thousand, twenty".