68445072 has 60 divisors (see below), whose sum is σ = 196240044. Its totient is φ = 22256640.

The previous prime is 68445071. The next prime is 68445073. The reversal of 68445072 is 27054486.

It is an interprime number because it is at equal distance from previous prime (68445071) and next prime (68445073).

It can be written as a sum of positive squares in 2 ways, for example, as 34152336 + 34292736 = 5844^2 + 5856^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68445071) 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, 108 + ... + 11700.

Almost surely, 2^68445072 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 68445072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98120022).

68445072 is an abundant number, since it is smaller than the sum of its proper divisors (127794972).

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

68445072 is a wasteful number, since it uses less digits than its factorization.

68445072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11648 (or 11639 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 68445072 is about 8273.1536913078. The cubic root of 68445072 is about 409.0540794858.

It can be divided in two parts, 684450 and 72, that multiplied together give a square (49280400 = 7020²).

The spelling of 68445072 in words is "sixty-eight million, four hundred forty-five thousand, seventy-two".