72030112 has 192 divisors, whose sum is σ = 195084288. Its totient is φ = 25344000.

The previous prime is 72030097. The next prime is 72030131. The reversal of 72030112 is 21103027.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1756812 + ... + 1756852.

It is an arithmetic number, because the mean of its divisors is an integer number (1016064).

Almost surely, 2^72030112 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 72030112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97542144).

72030112 is an abundant number, since it is smaller than the sum of its proper divisors (123054176).

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

72030112 is a wasteful number, since it uses less digits than its factorization.

72030112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 16.

The square root of 72030112 is about 8487.0555553737. The cubic root of 72030112 is about 416.0747523458.

Adding to 72030112 its reverse (21103027), we get a palindrome (93133139).

The spelling of 72030112 in words is "seventy-two million, thirty thousand, one hundred twelve".