72211104 has 288 divisors, whose sum is σ = 259459200. Its totient is φ = 18966528.

The previous prime is 72211093. The next prime is 72211123. The reversal of 72211104 is 40111227.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1679307 + ... + 1679349.

It is an arithmetic number, because the mean of its divisors is an integer number (900900).

Almost surely, 2^72211104 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 72211104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129729600).

72211104 is an abundant number, since it is smaller than the sum of its proper divisors (187248096).

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

72211104 is a wasteful number, since it uses less digits than its factorization.

72211104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 72211104 is about 8497.7116919792. The cubic root of 72211104 is about 416.4229549366.

The spelling of 72211104 in words is "seventy-two million, two hundred eleven thousand, one hundred four".