72410112 has 154 divisors (see below), whose sum is σ = 219262358. Its totient is φ = 23887872.

The previous prime is 72410099. The next prime is 72410153. The reversal of 72410112 is 21101427.

It can be written as a sum of positive squares in only one way, i.e., 60466176 + 11943936 = 7776^2 + 3456^2 .

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

It is an unprimeable number.

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 13 ways as a sum of consecutive naturals, for example, 746448 + ... + 746544.

Almost surely, 2^72410112 is an apocalyptic number.

72410112 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 72410112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109631179).

72410112 is an abundant number, since it is smaller than the sum of its proper divisors (146852246).

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

72410112 is an frugal number, since it uses more digits than its factorization.

72410112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 72410112 is about 8509.4131407518. The cubic root of 72410112 is about 416.8051467885.

Adding to 72410112 its reverse (21101427), we get a palindrome (93511539).

The spelling of 72410112 in words is "seventy-two million, four hundred ten thousand, one hundred twelve".