3120540072 has 128 divisors (see below), whose sum is σ = 8582112000. Its totient is φ = 939755520.

The previous prime is 3120540029. The next prime is 3120540079. The reversal of 3120540072 is 2700450213.

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 (3120540079) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3026197 + ... + 3027227.

It is an arithmetic number, because the mean of its divisors is an integer number (67047750).

Almost surely, 2^3120540072 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 3120540072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4291056000).

3120540072 is an abundant number, since it is smaller than the sum of its proper divisors (5461571928).

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

3120540072 is a wasteful number, since it uses less digits than its factorization.

3120540072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1251 (or 1247 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 3120540072 is about 55861.7943857875. The cubic root of 3120540072 is about 1461.3130228450.

Adding to 3120540072 its reverse (2700450213), we get a palindrome (5820990285).

The spelling of 3120540072 in words is "three billion, one hundred twenty million, five hundred forty thousand, seventy-two".