72412120 has 64 divisors (see below), whose sum is σ = 178848000. Its totient is φ = 26167680.

The previous prime is 72412099. The next prime is 72412121. The reversal of 72412120 is 2121427.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72412121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 87147 + ... + 87973.

It is an arithmetic number, because the mean of its divisors is an integer number (2794500).

Almost surely, 2^72412120 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 72412120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89424000).

72412120 is an abundant number, since it is smaller than the sum of its proper divisors (106435880).

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

72412120 is a wasteful number, since it uses less digits than its factorization.

72412120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1048 (or 1044 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 19.

The square root of 72412120 is about 8509.5311269188. The cubic root of 72412120 is about 416.8089995515.

Adding to 72412120 its reverse (2121427), we get a palindrome (74533547).

The spelling of 72412120 in words is "seventy-two million, four hundred twelve thousand, one hundred twenty".