72115680 has 288 divisors, whose sum is σ = 283336704. Its totient is φ = 15095808.

The previous prime is 72115661. The next prime is 72115709. The reversal of 72115680 is 8651127.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 567777 + ... + 567903.

It is an arithmetic number, because the mean of its divisors is an integer number (983808).

Almost surely, 2^72115680 is an apocalyptic number.

72115680 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 72115680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141668352).

72115680 is an abundant number, since it is smaller than the sum of its proper divisors (211221024).

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

72115680 is a wasteful number, since it uses less digits than its factorization.

72115680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 30.

The square root of 72115680 is about 8492.0951478419. The cubic root of 72115680 is about 416.2394454844.

The spelling of 72115680 in words is "seventy-two million, one hundred fifteen thousand, six hundred eighty".