72667728 has 60 divisors (see below), whose sum is σ = 232424608. Its totient is φ = 20761920.

The previous prime is 72667709. The next prime is 72667753. The reversal of 72667728 is 82776627.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35038 + ... + 37053.

Almost surely, 2^72667728 is an apocalyptic number.

It is an amenable number.

72667728 is an abundant number, since it is smaller than the sum of its proper divisors (159756880).

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

72667728 is a wasteful number, since it uses less digits than its factorization.

72667728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72112 (or 72103 counting only the distinct ones).

The product of its digits is 395136, while the sum is 45.

The square root of 72667728 is about 8524.5368202618. The cubic root of 72667728 is about 417.2988558610.

The spelling of 72667728 in words is "seventy-two million, six hundred sixty-seven thousand, seven hundred twenty-eight".