72005112 has 40 divisors (see below), whose sum is σ = 201682800. Its totient is φ = 24001488.

The previous prime is 72005107. The next prime is 72005119. The reversal of 72005112 is 21150027.

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 (72005119) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 54912 + ... + 56207.

It is an arithmetic number, because the mean of its divisors is an integer number (5042070).

Almost surely, 2^72005112 is an apocalyptic number.

72005112 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

72005112 is an abundant number, since it is smaller than the sum of its proper divisors (129677688).

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

72005112 is a wasteful number, since it uses less digits than its factorization.

72005112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111137 (or 111124 counting only the distinct ones).

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

The square root of 72005112 is about 8485.5825963808. The cubic root of 72005112 is about 416.0266101075.

Adding to 72005112 its reverse (21150027), we get a palindrome (93155139).

The spelling of 72005112 in words is "seventy-two million, five thousand, one hundred twelve".