72658068 has 144 divisors (see below), whose sum is σ = 213730944. Its totient is φ = 18800640.

The previous prime is 72658067. The next prime is 72658111. The reversal of 72658068 is 86085627.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72658067) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 995280 + ... + 995352.

Almost surely, 2^72658068 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 72658068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106865472).

72658068 is an abundant number, since it is smaller than the sum of its proper divisors (141072876).

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

72658068 is a wasteful number, since it uses less digits than its factorization.

72658068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The square root of 72658068 is about 8523.9702017311. The cubic root of 72658068 is about 417.2803639954.

The spelling of 72658068 in words is "seventy-two million, six hundred fifty-eight thousand, sixty-eight".