72110062080 has 1200 divisors, whose sum is σ = 308867302656. Its totient is φ = 16024780800.

The previous prime is 72110062009. The next prime is 72110062091. The reversal of 72110062080 is 8026001127.

72110062080 is a `hidden beast` number, since 7 + 21 + 10 + 0 + 620 + 8 + 0 = 666.

It is a super-2 number, since 2×72110062080² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 477550005 + ... + 477550155.

Almost surely, 2^72110062080 is an apocalyptic number.

72110062080 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 72110062080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154433651328).

72110062080 is an abundant number, since it is smaller than the sum of its proper divisors (236757240576).

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

72110062080 is a wasteful number, since it uses less digits than its factorization.

72110062080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The spelling of 72110062080 in words is "seventy-two billion, one hundred ten million, sixty-two thousand, eighty".