712530432 has 280 divisors, whose sum is σ = 2254168224. Its totient is φ = 224446464.

The previous prime is 712530389. The next prime is 712530437. The reversal of 712530432 is 234035217.

It is a super-2 number, since 2×712530432² = 1015399233052213248, which contains 22 as substring.

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 = 712530396 and 712530405.

It is not an unprimeable number, because it can be changed into a prime (712530437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 8584663 + ... + 8584745.

Almost surely, 2^712530432 is an apocalyptic number.

712530432 is a gapful number since it is divisible by the number (72) 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 712530432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1127084112).

712530432 is an abundant number, since it is smaller than the sum of its proper divisors (1541637792).

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

712530432 is an frugal number, since it uses more digits than its factorization.

712530432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 712530432 is about 26693.2656675799. The cubic root of 712530432 is about 893.1707097357.

Adding to 712530432 its reverse (234035217), we get a palindrome (946565649).

The spelling of 712530432 in words is "seven hundred twelve million, five hundred thirty thousand, four hundred thirty-two".