72267000 has 256 divisors, whose sum is σ = 259459200. Its totient is φ = 16588800.

The previous prime is 72266993. The next prime is 72267023. The reversal of 72267000 is 76227.

It is a Cunningham number, because it is equal to 8501²-1.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 662946 + ... + 663054.

Almost surely, 2^72267000 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 72267000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129729600).

72267000 is an abundant number, since it is smaller than the sum of its proper divisors (187192200).

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

72267000 is a wasteful number, since it uses less digits than its factorization.

72267000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 24.

The square root of 72267000 is about 8500.9999411834. Note that the first 4 decimals coincide. The cubic root of 72267000 is about 416.5303732005.

The spelling of 72267000 in words is "seventy-two million, two hundred sixty-seven thousand".