72967068 has 96 divisors (see below), whose sum is σ = 202048000. Its totient is φ = 22989744.

The previous prime is 72967067. The next prime is 72967079. The reversal of 72967068 is 86076927.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72967067) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 165993 + ... + 166431.

Almost surely, 2^72967068 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 72967068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101024000).

72967068 is an abundant number, since it is smaller than the sum of its proper divisors (129080932).

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

72967068 is a wasteful number, since it uses less digits than its factorization.

72967068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483 (or 463 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 72967068 is about 8542.0763283876. The cubic root of 72967068 is about 417.8710636106.

The spelling of 72967068 in words is "seventy-two million, nine hundred sixty-seven thousand, sixty-eight".