72263000 has 64 divisors (see below), whose sum is σ = 170726400. Its totient is φ = 28627200.

The previous prime is 72262997. The next prime is 72263021. The reversal of 72263000 is 36227.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 126716 + ... + 127284.

It is an arithmetic number, because the mean of its divisors is an integer number (2667600).

Almost surely, 2^72263000 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 72263000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85363200).

72263000 is an abundant number, since it is smaller than the sum of its proper divisors (98463400).

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

72263000 is a wasteful number, since it uses less digits than its factorization.

72263000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 717 (or 703 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 20.

The square root of 72263000 is about 8500.7646714869. The cubic root of 72263000 is about 416.5226880319.

Adding to 72263000 its reverse (36227), we get a palindrome (72299227).

The spelling of 72263000 in words is "seventy-two million, two hundred sixty-three thousand".