72164760 has 128 divisors (see below), whose sum is σ = 227448000. Its totient is φ = 18292736.

The previous prime is 72164749. The next prime is 72164761. The reversal of 72164760 is 6746127.

72164760 is an undulating number in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72164761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 309604 + ... + 309836.

Almost surely, 2^72164760 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 72164760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113724000).

72164760 is an abundant number, since it is smaller than the sum of its proper divisors (155283240).

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

72164760 is a wasteful number, since it uses less digits than its factorization.

72164760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 33.

The square root of 72164760 is about 8494.9844025754. The cubic root of 72164760 is about 416.3338512099. Note that the first 3 decimals are identical.

The spelling of 72164760 in words is "seventy-two million, one hundred sixty-four thousand, seven hundred sixty".