20002752 has 252 divisors, whose sum is σ = 73779888. Its totient is φ = 5068800.

The previous prime is 20002739. The next prime is 20002757. The reversal of 20002752 is 25720002.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (252).

It is a super-2 number, since 2×20002752² = 800220175147008, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20002757) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 487852 + ... + 487892.

Almost surely, 2^20002752 is an apocalyptic number.

20002752 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20002752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36889944).

20002752 is an abundant number, since it is smaller than the sum of its proper divisors (53777136).

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

20002752 is a wasteful number, since it uses less digits than its factorization.

20002752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 18.

The square root of 20002752 is about 4472.4436273697. The cubic root of 20002752 is about 271.4542112173.

Adding to 20002752 its reverse (25720002), we get a palindrome (45722754).

The spelling of 20002752 in words is "twenty million, two thousand, seven hundred fifty-two".