72080118 has 96 divisors (see below), whose sum is σ = 179786880. Its totient is φ = 21461760.

The previous prime is 72080117. The next prime is 72080143. The reversal of 72080118 is 81108027.

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

It is a junction number, because it is equal to n+sod(n) for n = 72080091 and 72080100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72080111) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 518493 + ... + 518631.

It is an arithmetic number, because the mean of its divisors is an integer number (1872780).

Almost surely, 2^72080118 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72080118, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89893440).

72080118 is an abundant number, since it is smaller than the sum of its proper divisors (107706762).

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

72080118 is a wasteful number, since it uses less digits than its factorization.

72080118 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 252 counting only the distinct ones).

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

The square root of 72080118 is about 8490.0010600706. The cubic root of 72080118 is about 416.1710149621.

The spelling of 72080118 in words is "seventy-two million, eighty thousand, one hundred eighteen".