712606752 has 270 divisors, whose sum is σ = 2413769085. Its totient is φ = 199330560.

The previous prime is 712606693. The next prime is 712606753. The reversal of 712606752 is 257606217.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 609299856 + 103306896 = 24684^2 + 10164^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=18876.

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

It is not an unprimeable number, because it can be changed into a prime (712606753) 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 44 ways as a sum of consecutive naturals, for example, 54815898 + ... + 54815910.

Almost surely, 2^712606752 is an apocalyptic number.

712606752 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 712606752

712606752 is an abundant number, since it is smaller than the sum of its proper divisors (1701162333).

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

712606752 is a wasteful number, since it uses less digits than its factorization.

712606752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 712606752 is about 26694.6952033545. The cubic root of 712606752 is about 893.2025981304.

The spelling of 712606752 in words is "seven hundred twelve million, six hundred six thousand, seven hundred fifty-two".