72767280 has 80 divisors (see below), whose sum is σ = 230413824. Its totient is φ = 18988800.

The previous prime is 72767267. The next prime is 72767281. The reversal of 72767280 is 8276727.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (72767281) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8055 + ... + 14505.

Almost surely, 2^72767280 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 72767280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115206912).

72767280 is an abundant number, since it is smaller than the sum of its proper divisors (157646544).

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

72767280 is a wasteful number, since it uses less digits than its factorization.

72767280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6514 (or 6508 counting only the distinct ones).

The product of its (nonzero) digits is 65856, while the sum is 39.

The square root of 72767280 is about 8530.3739660111. The cubic root of 72767280 is about 417.4893300487.

The spelling of 72767280 in words is "seventy-two million, seven hundred sixty-seven thousand, two hundred eighty".