72623071080 has 384 divisors, whose sum is σ = 275724933120. Its totient is φ = 16235527680.

The previous prime is 72623071057. The next prime is 72623071091. The reversal of 72623071080 is 8017032627.

72623071080 is a `hidden beast` number, since 7 + 262 + 307 + 10 + 80 = 666.

It is a super-2 number, since 2×72623071080² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21541795 + ... + 21545165.

It is an arithmetic number, because the mean of its divisors is an integer number (718033680).

Almost surely, 2^72623071080 is an apocalyptic number.

72623071080 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 72623071080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137862466560).

72623071080 is an abundant number, since it is smaller than the sum of its proper divisors (203101862040).

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

72623071080 is a wasteful number, since it uses less digits than its factorization.

72623071080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3581 (or 3574 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 72623071080 in words is "seventy-two billion, six hundred twenty-three million, seventy-one thousand, eighty".