72070960 has 120 divisors (see below), whose sum is σ = 190081584. Its totient is φ = 25259520.

The previous prime is 72070913. The next prime is 72070963. The reversal of 72070960 is 6907027.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72070963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 550095 + ... + 550225.

Almost surely, 2^72070960 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 72070960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95040792).

72070960 is an abundant number, since it is smaller than the sum of its proper divisors (118010624).

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

72070960 is a wasteful number, since it uses less digits than its factorization.

72070960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 5292, while the sum is 31.

The square root of 72070960 is about 8489.4617026052. The cubic root of 72070960 is about 416.1533889478.

Adding to 72070960 its reverse (6907027), we get a palindrome (78977987).

The spelling of 72070960 in words is "seventy-two million, seventy thousand, nine hundred sixty".