72081680 has 80 divisors (see below), whose sum is σ = 184863168. Its totient is φ = 25920000.

The previous prime is 72081677. The next prime is 72081719. The reversal of 72081680 is 8618027.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 88475 + ... + 89285.

Almost surely, 2^72081680 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72081680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92431584).

72081680 is an abundant number, since it is smaller than the sum of its proper divisors (112781488).

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

72081680 is a wasteful number, since it uses less digits than its factorization.

72081680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 936 (or 930 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 32.

The square root of 72081680 is about 8490.0930501379. The cubic root of 72081680 is about 416.1740211282.

It can be divided in two parts, 7208 and 1680, that added together give a palindrome (8888).

The spelling of 72081680 in words is "seventy-two million, eighty-one thousand, six hundred eighty".