72245120 has 64 divisors (see below), whose sum is σ = 174052800. Its totient is φ = 28674048.

The previous prime is 72245101. The next prime is 72245137. The reversal of 72245120 is 2154227.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 100121 + ... + 100839.

It is an arithmetic number, because the mean of its divisors is an integer number (2719575).

Almost surely, 2^72245120 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 72245120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87026400).

72245120 is an abundant number, since it is smaller than the sum of its proper divisors (101807680).

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

72245120 is a wasteful number, since it uses less digits than its factorization.

72245120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 895 (or 883 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 23.

The square root of 72245120 is about 8499.7129363291. The cubic root of 72245120 is about 416.4883318607.

Adding to 72245120 its reverse (2154227), we get a palindrome (74399347).

The spelling of 72245120 in words is "seventy-two million, two hundred forty-five thousand, one hundred twenty".