72563642880 has 160 divisors (see below), whose sum is σ = 232407071424. Its totient is φ = 19314425856.

The previous prime is 72563642857. The next prime is 72563642903. The reversal of 72563642880 is 8824636527.

It is an interprime number because it is at equal distance from previous prime (72563642857) and next prime (72563642903).

It is a tau number, because it is divible by the number of its divisors (160).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4269279 + ... + 4286241.

Almost surely, 2^72563642880 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72563642880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116203535712).

72563642880 is an abundant number, since it is smaller than the sum of its proper divisors (159843428544).

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

72563642880 is a wasteful number, since it uses less digits than its factorization.

72563642880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17546 (or 17530 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 51.

The spelling of 72563642880 in words is "seventy-two billion, five hundred sixty-three million, six hundred forty-two thousand, eight hundred eighty".