72619130880 has 588 divisors, whose sum is σ = 275062325160. Its totient is φ = 18345885696.

The previous prime is 72619130863. The next prime is 72619130981. The reversal of 72619130880 is 8803191627.

72619130880 is a `hidden beast` number, since 7 + 261 + 9 + 1 + 308 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 3822059511 + ... + 3822059529.

It is an arithmetic number, because the mean of its divisors is an integer number (467793070).

Almost surely, 2^72619130880 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 72619130880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137531162580).

72619130880 is an abundant number, since it is smaller than the sum of its proper divisors (202443194280).

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

72619130880 is an frugal number, since it uses more digits than its factorization.

72619130880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 72619130880 in words is "seventy-two billion, six hundred nineteen million, one hundred thirty thousand, eight hundred eighty".