72166610880 has 896 divisors, whose sum is σ = 315431424000. Its totient is φ = 15125004288.

The previous prime is 72166610843. The next prime is 72166610899. The reversal of 72166610880 is 8801666127.

It is a happy number.

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 127 ways as a sum of consecutive naturals, for example, 206780946 + ... + 206781294.

It is an arithmetic number, because the mean of its divisors is an integer number (352044000).

Almost surely, 2^72166610880 is an apocalyptic number.

72166610880 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 72166610880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157715712000).

72166610880 is an abundant number, since it is smaller than the sum of its proper divisors (243264813120).

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

72166610880 is a wasteful number, since it uses less digits than its factorization.

72166610880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 658 (or 642 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 72166610880 in words is "seventy-two billion, one hundred sixty-six million, six hundred ten thousand, eight hundred eighty".