725967769527 has 192 divisors, whose sum is σ = 1463022812160. Its totient is φ = 334604390400.

The previous prime is 725967769517. The next prime is 725967769547.

725967769527 is a `hidden beast` number, since 7 + 2 + 5 + 96 + 7 + 7 + 6 + 9 + 527 = 666.

725967769527 is nontrivially palindromic in base 10.

725967769527 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 725967769527 - 2¹⁸ = 725967507383 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (725967769517) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 59300127 + ... + 59312367.

It is an arithmetic number, because the mean of its divisors is an integer number (7619910480).

Almost surely, 2^725967769527 is an apocalyptic number.

725967769527 is a gapful number since it is divisible by the number (77) formed by its first and last digit.

725967769527 is an abundant number, since it is smaller than the sum of its proper divisors (737055042633).

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

725967769527 is a wasteful number, since it uses less digits than its factorization.

725967769527 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12534 (or 12531 counting only the distinct ones).

The product of its digits is 700131600, while the sum is 72.

The spelling of 725967769527 in words is "seven hundred twenty-five billion, nine hundred sixty-seven million, seven hundred sixty-nine thousand, five hundred twenty-seven".