712977552 has 480 divisors, whose sum is σ = 2651830272. Its totient is φ = 180652032.

The previous prime is 712977521. The next prime is 712977563. The reversal of 712977552 is 255779217.

712977552 is a `hidden beast` number, since 7 + 1 + 2 + 97 + 7 + 552 = 666.

712977552 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 712977498 and 712977507.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10641423 + ... + 10641489.

Almost surely, 2^712977552 is an apocalyptic number.

712977552 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 712977552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1325915136).

712977552 is an abundant number, since it is smaller than the sum of its proper divisors (1938852720).

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

712977552 is a wasteful number, since it uses less digits than its factorization.

712977552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 119 counting only the distinct ones).

The product of its digits is 308700, while the sum is 45.

The square root of 712977552 is about 26701.6395002254. The cubic root of 712977552 is about 893.3574952006.

It can be divided in two parts, 7129 and 77552, that added together give a square (84681 = 291²).

The spelling of 712977552 in words is "seven hundred twelve million, nine hundred seventy-seven thousand, five hundred fifty-two".