712749024 has 384 divisors, whose sum is σ = 2438553600. Its totient is φ = 200724480.

The previous prime is 712749013. The next prime is 712749041. The reversal of 712749024 is 420947217.

It is a super-2 number, since 2×712749024² = 1016022342425905152, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 712749024.

It is a congruent number.

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, 8008372 + ... + 8008460.

It is an arithmetic number, because the mean of its divisors is an integer number (6350400).

Almost surely, 2^712749024 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 712749024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1219276800).

712749024 is an abundant number, since it is smaller than the sum of its proper divisors (1725804576).

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

712749024 is a wasteful number, since it uses less digits than its factorization.

712749024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 712749024 is about 26697.3598694702. The cubic root of 712749024 is about 893.2620368337.

The spelling of 712749024 in words is "seven hundred twelve million, seven hundred forty-nine thousand, twenty-four".