72060720 has 80 divisors (see below), whose sum is σ = 224604672. Its totient is φ = 19111680.

The previous prime is 72060649. The next prime is 72060727. The reversal of 72060720 is 2706027.

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

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (72060727) 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, 49929 + ... + 51351.

Almost surely, 2^72060720 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 72060720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112302336).

72060720 is an abundant number, since it is smaller than the sum of its proper divisors (152543952).

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

72060720 is a wasteful number, since it uses less digits than its factorization.

72060720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1650 (or 1644 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 24.

The square root of 72060720 is about 8488.8585805160. The cubic root of 72060720 is about 416.1336786856.

Adding to 72060720 its reverse (2706027), we get a palindrome (74766747).

The spelling of 72060720 in words is "seventy-two million, sixty thousand, seven hundred twenty".