72052525819 has 16 divisors (see below), whose sum is σ = 76171099680. Its totient is φ = 67967078400.

The previous prime is 72052525813. The next prime is 72052525829. The reversal of 72052525819 is 91852525027.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-72052525819 is a prime.

It is a super-2 number, since 2×72052525819² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72052525813) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 5804019 + ... + 5816419.

It is an arithmetic number, because the mean of its divisors is an integer number (4760693730).

Almost surely, 2^72052525819 is an apocalyptic number.

72052525819 is a deficient number, since it is larger than the sum of its proper divisors (4118573861).

72052525819 is a wasteful number, since it uses less digits than its factorization.

72052525819 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13710.

The product of its (nonzero) digits is 504000, while the sum is 46.

It can be divided in two parts, 72052 and 525819, that added together give a triangular number (597871 = T₁₀₉₃).

The spelling of 72052525819 in words is "seventy-two billion, fifty-two million, five hundred twenty-five thousand, eight hundred nineteen".