72693306 has 48 divisors (see below), whose sum is σ = 184202304. Its totient is φ = 20284992.

The previous prime is 72693301. The next prime is 72693323. The reversal of 72693306 is 60339627.

It is not an unprimeable number, because it can be changed into a prime (72693301) 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 23 ways as a sum of consecutive naturals, for example, 1291 + ... + 12126.

It is an arithmetic number, because the mean of its divisors is an integer number (3837548).

Almost surely, 2^72693306 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72693306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92101152).

72693306 is an abundant number, since it is smaller than the sum of its proper divisors (111508998).

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

72693306 is a wasteful number, since it uses less digits than its factorization.

72693306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13475 (or 13472 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 36.

The square root of 72693306 is about 8526.0369457328. The cubic root of 72693306 is about 417.3478111921.

The spelling of 72693306 in words is "seventy-two million, six hundred ninety-three thousand, three hundred six".