72406668 has 48 divisors (see below), whose sum is σ = 180423936. Its totient is φ = 22545600.

The previous prime is 72406661. The next prime is 72406679. The reversal of 72406668 is 86660427.

It is not an unprimeable number, because it can be changed into a prime (72406661) 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 15 ways as a sum of consecutive naturals, for example, 8818 + ... + 14918.

It is an arithmetic number, because the mean of its divisors is an integer number (3758832).

Almost surely, 2^72406668 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 72406668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90211968).

72406668 is an abundant number, since it is smaller than the sum of its proper divisors (108017268).

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

72406668 is a wasteful number, since it uses less digits than its factorization.

72406668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6174 (or 6172 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The square root of 72406668 is about 8509.2107742140. The cubic root of 72406668 is about 416.7985385969.

The spelling of 72406668 in words is "seventy-two million, four hundred six thousand, six hundred sixty-eight".