72062766 has 24 divisors (see below), whose sum is σ = 157893840. Its totient is φ = 23750496.

The previous prime is 72062761. The next prime is 72062803. The reversal of 72062766 is 66726027.

72062766 is a `hidden beast` number, since 7 + 20 + 627 + 6 + 6 = 666.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 72062766.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72062761) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20890 + ... + 24093.

It is an arithmetic number, because the mean of its divisors is an integer number (6578910).

Almost surely, 2^72062766 is an apocalyptic number.

72062766 is an abundant number, since it is smaller than the sum of its proper divisors (85831074).

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

72062766 is a wasteful number, since it uses less digits than its factorization.

72062766 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45080 (or 45077 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 72062766 is about 8488.9790905621. The cubic root of 72062766 is about 416.1376170377.

The spelling of 72062766 in words is "seventy-two million, sixty-two thousand, seven hundred sixty-six".