72561394080 has 672 divisors, whose sum is σ = 295963694208. Its totient is φ = 16460236800.

The previous prime is 72561394063. The next prime is 72561394091. The reversal of 72561394080 is 8049316527.

72561394080 is a `hidden beast` number, since 7 + 2 + 561 + 3 + 9 + 4 + 0 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 147782635 + ... + 147783125.

It is an arithmetic number, because the mean of its divisors is an integer number (440422164).

It is a 1-persistent number, because it is pandigital, but 2⋅72561394080 = 145122788160 is not.

Almost surely, 2^72561394080 is an apocalyptic number.

72561394080 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 72561394080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147981847104).

72561394080 is an abundant number, since it is smaller than the sum of its proper divisors (223402300128).

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

72561394080 is a wasteful number, since it uses less digits than its factorization.

72561394080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 712 (or 689 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 72561394080 in words is "seventy-two billion, five hundred sixty-one million, three hundred ninety-four thousand, eighty".