72478080 has 96 divisors (see below), whose sum is σ = 250295760. Its totient is φ = 19325952.

The previous prime is 72478061. The next prime is 72478111. The reversal of 72478080 is 8087427.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 11 ways as a sum of consecutive naturals, for example, 532 + ... + 12051.

Almost surely, 2^72478080 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 72478080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125147880).

72478080 is an abundant number, since it is smaller than the sum of its proper divisors (177817680).

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

72478080 is a wasteful number, since it uses less digits than its factorization.

72478080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12608 (or 12593 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 36.

The square root of 72478080 is about 8513.4058989338. The cubic root of 72478080 is about 416.9355178661.

The spelling of 72478080 in words is "seventy-two million, four hundred seventy-eight thousand, eighty".