712735240 has 64 divisors (see below), whose sum is σ = 1838194560. Its totient is φ = 243640320.

The previous prime is 712735223. The next prime is 712735241. The reversal of 712735240 is 42537217.

712735240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (712735241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 95235 + ... + 102445.

It is an arithmetic number, because the mean of its divisors is an integer number (28721790).

Almost surely, 2^712735240 is an apocalyptic number.

712735240 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 712735240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (919097280).

712735240 is an abundant number, since it is smaller than the sum of its proper divisors (1125459320).

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

712735240 is a wasteful number, since it uses less digits than its factorization.

712735240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7582 (or 7578 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 31.

The square root of 712735240 is about 26697.1017153548. The cubic root of 712735240 is about 893.2562784705.

The spelling of 712735240 in words is "seven hundred twelve million, seven hundred thirty-five thousand, two hundred forty".