72114480 has 120 divisors (see below), whose sum is σ = 248821872. Its totient is φ = 18703872.

The previous prime is 72114479. The next prime is 72114521. The reversal of 72114480 is 8441127.

72114480 is a `hidden beast` number, since 7 + 211 + 448 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25287 + ... + 27993.

Almost surely, 2^72114480 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 72114480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124410936).

72114480 is an abundant number, since it is smaller than the sum of its proper divisors (176707392).

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

72114480 is a wasteful number, since it uses less digits than its factorization.

72114480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2763 (or 2754 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 72114480 is about 8492.0244936058. The cubic root of 72114480 is about 416.2371367396.

The spelling of 72114480 in words is "seventy-two million, one hundred fourteen thousand, four hundred eighty".