68973072 has 80 divisors (see below), whose sum is σ = 205320192. Its totient is φ = 19543680.

The previous prime is 68973041. The next prime is 68973077. The reversal of 68973072 is 27037986.

It is a super-2 number, since 2×68973072² = 9514569322234368, which contains 22 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (68973077) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43233 + ... + 44799.

Almost surely, 2^68973072 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 68973072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102660096).

68973072 is an abundant number, since it is smaller than the sum of its proper divisors (136347120).

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

68973072 is a wasteful number, since it uses less digits than its factorization.

68973072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1716 (or 1710 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 42.

The square root of 68973072 is about 8305.0028296202. The cubic root of 68973072 is about 410.1032300049.

The spelling of 68973072 in words is "sixty-eight million, nine hundred seventy-three thousand, seventy-two".