68102672 has 60 divisors (see below), whose sum is σ = 150159660. Its totient is φ = 29863680.

The previous prime is 68102647. The next prime is 68102677. The reversal of 68102672 is 27620186.

It can be written as a sum of positive squares in 2 ways, for example, as 16032016 + 52070656 = 4004^2 + 7216^2 .

It is not an unprimeable number, because it can be changed into a prime (68102677) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 55538 + ... + 56750.

It is an arithmetic number, because the mean of its divisors is an integer number (2502661).

Almost surely, 2^68102672 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 68102672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75079830).

68102672 is an abundant number, since it is smaller than the sum of its proper divisors (82056988).

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

68102672 is a wasteful number, since it uses less digits than its factorization.

68102672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1272 (or 1255 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 32.

The square root of 68102672 is about 8252.4343075241. The cubic root of 68102672 is about 408.3708341883.

The spelling of 68102672 in words is "sixty-eight million, one hundred two thousand, six hundred seventy-two".