72050112 has 84 divisors (see below), whose sum is σ = 211394040. Its totient is φ = 23450112.

The previous prime is 72050101. The next prime is 72050113. The reversal of 72050112 is 21105027.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72050113) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 23314 + ... + 26222.

Almost surely, 2^72050112 is an apocalyptic number.

72050112 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72050112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105697020).

72050112 is an abundant number, since it is smaller than the sum of its proper divisors (139343928).

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

72050112 is a wasteful number, since it uses less digits than its factorization.

72050112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2970 (or 2957 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 18.

The square root of 72050112 is about 8488.2337385348. The cubic root of 72050112 is about 416.1132581167.

Adding to 72050112 its reverse (21105027), we get a palindrome (93155139).

The spelling of 72050112 in words is "seventy-two million, fifty thousand, one hundred twelve".