72047760 has 80 divisors (see below), whose sum is σ = 224289216. Its totient is φ = 19131904.

The previous prime is 72047749. The next prime is 72047809. The reversal of 72047760 is 6774027.

It is a happy number.

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

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 75607 + ... + 76553.

Almost surely, 2^72047760 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 72047760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112144608).

72047760 is an abundant number, since it is smaller than the sum of its proper divisors (152241456).

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

72047760 is a wasteful number, since it uses less digits than its factorization.

72047760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1280 (or 1274 counting only the distinct ones).

The product of its (nonzero) digits is 16464, while the sum is 33.

The square root of 72047760 is about 8488.0951926802. The cubic root of 72047760 is about 416.1087302078.

The spelling of 72047760 in words is "seventy-two million, forty-seven thousand, seven hundred sixty".