72361120 has 96 divisors (see below), whose sum is σ = 193898880. Its totient is φ = 25297920.

The previous prime is 72361111. The next prime is 72361123. The reversal of 72361120 is 2116327.

It is a super-2 number, since 2×72361120² = 10472263375308800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 72361091 and 72361100.

It is not an unprimeable number, because it can be changed into a prime (72361123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38605 + ... + 40435.

It is an arithmetic number, because the mean of its divisors is an integer number (2019780).

Almost surely, 2^72361120 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 72361120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96949440).

72361120 is an abundant number, since it is smaller than the sum of its proper divisors (121537760).

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

72361120 is a wasteful number, since it uses less digits than its factorization.

72361120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1878 (or 1870 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 22.

The square root of 72361120 is about 8506.5339592574. The cubic root of 72361120 is about 416.7111234342.

Adding to 72361120 its reverse (2116327), we get a palindrome (74477447).

The spelling of 72361120 in words is "seventy-two million, three hundred sixty-one thousand, one hundred twenty".