72052120 has 64 divisors (see below), whose sum is σ = 196188480. Its totient is φ = 23248896.

The previous prime is 72052117. The next prime is 72052139. The reversal of 72052120 is 2125027.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 2809 + ... + 12328.

It is an arithmetic number, because the mean of its divisors is an integer number (3065445).

Almost surely, 2^72052120 is an apocalyptic number.

72052120 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

72052120 is an abundant number, since it is smaller than the sum of its proper divisors (124136360).

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

72052120 is a wasteful number, since it uses less digits than its factorization.

72052120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15172 (or 15168 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 19.

The square root of 72052120 is about 8488.3520190906. The cubic root of 72052120 is about 416.1171237025.

Adding to 72052120 its reverse (2125027), we get a palindrome (74177147).

The spelling of 72052120 in words is "seventy-two million, fifty-two thousand, one hundred twenty".