67072764 has 48 divisors (see below), whose sum is σ = 172118016. Its totient is φ = 20160000.

The previous prime is 67072757. The next prime is 67072781. The reversal of 67072764 is 46727076.

It is a happy number.

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, 14764 + ... + 18764.

It is an arithmetic number, because the mean of its divisors is an integer number (3585792).

Almost surely, 2^67072764 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 67072764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86059008).

67072764 is an abundant number, since it is smaller than the sum of its proper divisors (105045252).

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

67072764 is a wasteful number, since it uses less digits than its factorization.

67072764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4146 (or 4144 counting only the distinct ones).

The product of its (nonzero) digits is 98784, while the sum is 39.

The square root of 67072764 is about 8189.7963344640. The cubic root of 67072764 is about 406.3017889322.

The spelling of 67072764 in words is "sixty-seven million, seventy-two thousand, seven hundred sixty-four".