20115072 has 96 divisors (see below), whose sum is σ = 60996000. Its totient is φ = 6345216.

The previous prime is 20115061. The next prime is 20115083. The reversal of 20115072 is 27051102.

It is an interprime number because it is at equal distance from previous prime (20115061) and next prime (20115083).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×20115072² = 809232243130368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 11 ways as a sum of consecutive naturals, for example, 21429 + ... + 22347.

It is an arithmetic number, because the mean of its divisors is an integer number (635375).

Almost surely, 2^20115072 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 20115072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30498000).

20115072 is an abundant number, since it is smaller than the sum of its proper divisors (40880928).

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

20115072 is a wasteful number, since it uses less digits than its factorization.

20115072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 958 (or 943 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 18.

The square root of 20115072 is about 4484.9829431114. The cubic root of 20115072 is about 271.9613555248.

Adding to 20115072 its reverse (27051102), we get a palindrome (47166174).

The spelling of 20115072 in words is "twenty million, one hundred fifteen thousand, seventy-two".