72233406 has 48 divisors (see below), whose sum is σ = 181044864. Its totient is φ = 20386512.

The previous prime is 72233401. The next prime is 72233423. The reversal of 72233406 is 60433227.

It is a self number, because there is not a number n which added to its sum of digits gives 72233406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72233401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7005 + ... + 13911.

It is an arithmetic number, because the mean of its divisors is an integer number (3771768).

Almost surely, 2^72233406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72233406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90522432).

72233406 is an abundant number, since it is smaller than the sum of its proper divisors (108811458).

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

72233406 is a wasteful number, since it uses less digits than its factorization.

72233406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7005 (or 7002 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

The square root of 72233406 is about 8499.0238262991. The cubic root of 72233406 is about 416.4658204993.

The spelling of 72233406 in words is "seventy-two million, two hundred thirty-three thousand, four hundred six".