72473168880 has 400 divisors, whose sum is σ = 288966237120. Its totient is φ = 16490594304.

The previous prime is 72473168879. The next prime is 72473168917. The reversal of 72473168880 is 8886137427.

It is a happy number.

72473168880 is a `hidden beast` number, since 7 + 2 + 473 + 16 + 88 + 80 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 10383952 + ... + 10390928.

Almost surely, 2^72473168880 is an apocalyptic number.

72473168880 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72473168880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144483118560).

72473168880 is an abundant number, since it is smaller than the sum of its proper divisors (216493068240).

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

72473168880 is a wasteful number, since it uses less digits than its factorization.

72473168880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7238 (or 7223 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 54.

The spelling of 72473168880 in words is "seventy-two billion, four hundred seventy-three million, one hundred sixty-eight thousand, eight hundred eighty".