72602112 has 80 divisors (see below), whose sum is σ = 211048992. Its totient is φ = 21995520.

The previous prime is 72602111. The next prime is 72602113. The reversal of 72602112 is 21120627.

It is an interprime number because it is at equal distance from previous prime (72602111) and next prime (72602113).

It is not an unprimeable number, because it can be changed into a prime (72602111) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14748 + ... + 19044.

Almost surely, 2^72602112 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 72602112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105524496).

72602112 is an abundant number, since it is smaller than the sum of its proper divisors (138446880).

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

72602112 is a wasteful number, since it uses less digits than its factorization.

72602112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4329 (or 4313 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 72602112 is about 8520.6872962221. The cubic root of 72602112 is about 417.1732167451.

Adding to 72602112 its reverse (21120627), we get a palindrome (93722739).

The spelling of 72602112 in words is "seventy-two million, six hundred two thousand, one hundred twelve".