72266920 has 128 divisors (see below), whose sum is σ = 191082240. Its totient is φ = 24330240.

The previous prime is 72266911. The next prime is 72266923. The reversal of 72266920 is 2966227.

It is not an unprimeable number, because it can be changed into a prime (72266923) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 374344 + ... + 374536.

It is an arithmetic number, because the mean of its divisors is an integer number (1492830).

Almost surely, 2^72266920 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 72266920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95541120).

72266920 is an abundant number, since it is smaller than the sum of its proper divisors (118815320).

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

72266920 is a wasteful number, since it uses less digits than its factorization.

72266920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 34.

The square root of 72266920 is about 8500.9952358533. The cubic root of 72266920 is about 416.5302194999.

The spelling of 72266920 in words is "seventy-two million, two hundred sixty-six thousand, nine hundred twenty".