727481055625 has 45 divisors (see below), whose sum is σ = 920417444793. Its totient is φ = 574803216000.

The previous prime is 727481055619. The next prime is 727481055739. The reversal of 727481055625 is 526550184727.

The square root of 727481055625 is 852925.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 22 ways, for example, as 362756857849 + 364724197776 = 602293^2 + 603924^2 .

It is not a de Polignac number, because 727481055625 - 2⁵ = 727481055593 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 2324220469 + ... + 2324220781.

Almost surely, 2^727481055625 is an apocalyptic number.

727481055625 is the 852925-th square number.

727481055625 is the 426463-rd centered octagonal number.

It is an amenable number.

727481055625 is a deficient number, since it is larger than the sum of its proper divisors (192936389168).

727481055625 is an frugal number, since it uses more digits than its factorization.

727481055625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 864 (or 427 counting only the distinct ones).

The product of its (nonzero) digits is 4704000, while the sum is 52.

The spelling of 727481055625 in words is "seven hundred twenty-seven billion, four hundred eighty-one million, fifty-five thousand, six hundred twenty-five".