72118080 has 224 divisors, whose sum is σ = 269930880. Its totient is φ = 18063360.

The previous prime is 72118061. The next prime is 72118103. The reversal of 72118080 is 8081127.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 31 ways as a sum of consecutive naturals, for example, 146635 + ... + 147125.

Almost surely, 2^72118080 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 72118080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134965440).

72118080 is an abundant number, since it is smaller than the sum of its proper divisors (197812800).

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

72118080 is a wasteful number, since it uses less digits than its factorization.

72118080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 534 (or 518 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 27.

The square root of 72118080 is about 8492.2364545507. The cubic root of 72118080 is about 416.2440628972.

The spelling of 72118080 in words is "seventy-two million, one hundred eighteen thousand, eighty".