73277568 has 256 divisors, whose sum is σ = 267321600. Its totient is φ = 19243008.

The previous prime is 73277551. The next prime is 73277569. The reversal of 73277568 is 86577237.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73277569) 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, 314380 + ... + 314612.

It is an arithmetic number, because the mean of its divisors is an integer number (1044225).

Almost surely, 2^73277568 is an apocalyptic number.

73277568 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73277568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133660800).

73277568 is an abundant number, since it is smaller than the sum of its proper divisors (194044032).

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

73277568 is a wasteful number, since it uses less digits than its factorization.

73277568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 258 counting only the distinct ones).

The product of its digits is 493920, while the sum is 45.

The square root of 73277568 is about 8560.2317725632. The cubic root of 73277568 is about 418.4629532602.

The spelling of 73277568 in words is "seventy-three million, two hundred seventy-seven thousand, five hundred sixty-eight".