72887173920 has 384 divisors, whose sum is σ = 278772399360. Its totient is φ = 17639424000.

The previous prime is 72887173861. The next prime is 72887173927. The reversal of 72887173920 is 2937178827.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (72887173927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 41864250 + ... + 41865990.

It is an arithmetic number, because the mean of its divisors is an integer number (725969790).

Almost surely, 2^72887173920 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 72887173920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139386199680).

72887173920 is an abundant number, since it is smaller than the sum of its proper divisors (205885225440).

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

72887173920 is a wasteful number, since it uses less digits than its factorization.

72887173920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2657 (or 2643 counting only the distinct ones).

The product of its (nonzero) digits is 2370816, while the sum is 54.

The spelling of 72887173920 in words is "seventy-two billion, eight hundred eighty-seven million, one hundred seventy-three thousand, nine hundred twenty".