72878946480 has 560 divisors, whose sum is σ = 269475564960. Its totient is φ = 18289152000.

The previous prime is 72878946473. The next prime is 72878946487. The reversal of 72878946480 is 8464987827.

72878946480 is a `hidden beast` number, since 7 + 28 + 78 + 9 + 464 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (72878946473) and next prime (72878946487).

It is a super-2 number, since 2×72878946480² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (72878946487) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 69341955 + ... + 69343005.

It is an arithmetic number, because the mean of its divisors is an integer number (481206366).

Almost surely, 2^72878946480 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 72878946480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134737782480).

72878946480 is an abundant number, since it is smaller than the sum of its proper divisors (196596618480).

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

72878946480 is a wasteful number, since it uses less digits than its factorization.

72878946480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1152 (or 1131 counting only the distinct ones).

The product of its (nonzero) digits is 43352064, while the sum is 63.

The spelling of 72878946480 in words is "seventy-two billion, eight hundred seventy-eight million, nine hundred forty-six thousand, four hundred eighty".