72006571725 has 24 divisors (see below), whose sum is σ = 129873672672. Its totient is φ = 34912276800.

The previous prime is 72006571669. The next prime is 72006571739. The reversal of 72006571725 is 52717560027.

It is not a de Polignac number, because 72006571725 - 2⁷ = 72006571597 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43639522 + ... + 43641171.

It is an arithmetic number, because the mean of its divisors is an integer number (5411403028).

Almost surely, 2^72006571725 is an apocalyptic number.

72006571725 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

It is an amenable number.

72006571725 is a deficient number, since it is larger than the sum of its proper divisors (57867100947).

72006571725 is a wasteful number, since it uses less digits than its factorization.

72006571725 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87280717 (or 87280712 counting only the distinct ones).

The product of its (nonzero) digits is 205800, while the sum is 42.

The spelling of 72006571725 in words is "seventy-two billion, six million, five hundred seventy-one thousand, seven hundred twenty-five".