72890209827 has 64 divisors (see below), whose sum is σ = 116900160000. Its totient is φ = 44730693504.

The previous prime is 72890209807. The next prime is 72890209831.

72890209827 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 72890209827 - 2⁷ = 72890209699 is a prime.

It is not an unprimeable number, because it can be changed into a prime (72890209807) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16758049 + ... + 16762397.

It is an arithmetic number, because the mean of its divisors is an integer number (1826565000).

Almost surely, 2^72890209827 is an apocalyptic number.

72890209827 is a deficient number, since it is larger than the sum of its proper divisors (44009950173).

72890209827 is a wasteful number, since it uses less digits than its factorization.

72890209827 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5297 (or 5291 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The spelling of 72890209827 in words is "seventy-two billion, eight hundred ninety million, two hundred nine thousand, eight hundred twenty-seven".