712355040 has 192 divisors, whose sum is σ = 2506593600. Its totient is φ = 188946432.

The previous prime is 712354957. The next prime is 712355041. The reversal of 712355040 is 40553217.

It is a happy number.

712355040 is a `hidden beast` number, since 71 + 2 + 3 + 550 + 40 = 666.

712355040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 712354995 and 712355013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (712355041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1161774 + ... + 1162386.

It is an arithmetic number, because the mean of its divisors is an integer number (13055175).

Almost surely, 2^712355040 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 712355040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1253296800).

712355040 is an abundant number, since it is smaller than the sum of its proper divisors (1794238560).

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

712355040 is a wasteful number, since it uses less digits than its factorization.

712355040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 906 (or 892 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 712355040 is about 26689.9801423680. The cubic root of 712355040 is about 893.0974179643.

The spelling of 712355040 in words is "seven hundred twelve million, three hundred fifty-five thousand, forty".