72880023040 has 320 divisors, whose sum is σ = 195500112192. Its totient is φ = 26049576960.

The previous prime is 72880022983. The next prime is 72880023071. The reversal of 72880023040 is 4032008827.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×72880023040² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 72880022987 and 72880023005.

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 31 ways as a sum of consecutive naturals, for example, 248737134 + ... + 248737426.

Almost surely, 2^72880023040 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 72880023040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97750056096).

72880023040 is an abundant number, since it is smaller than the sum of its proper divisors (122620089152).

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

72880023040 is an equidigital number, since it uses as much as digits as its factorization.

72880023040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 34.

The spelling of 72880023040 in words is "seventy-two billion, eight hundred eighty million, twenty-three thousand, forty".