72066225 has 48 divisors (see below), whose sum is σ = 148561920. Its totient is φ = 29947200.

The previous prime is 72066223. The next prime is 72066299. The reversal of 72066225 is 52266027.

It is not a de Polignac number, because 72066225 - 2¹ = 72066223 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 72066192 and 72066201.

It is not an unprimeable number, because it can be changed into a prime (72066223) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 465 + ... + 12014.

It is an arithmetic number, because the mean of its divisors is an integer number (3095040).

Almost surely, 2^72066225 is an apocalyptic number.

72066225 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

It is an amenable number.

72066225 is an abundant number, since it is smaller than the sum of its proper divisors (76495695).

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

72066225 is a wasteful number, since it uses less digits than its factorization.

72066225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12510 (or 12505 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 72066225 is about 8489.1828228635. The cubic root of 72066225 is about 416.1442751084.

It can be divided in two parts, 7206 and 6225, that added together give a palindrome (13431).

The spelling of 72066225 in words is "seventy-two million, sixty-six thousand, two hundred twenty-five".