52020072 has 96 divisors (see below), whose sum is σ = 153153000. Its totient is φ = 15856128.

The previous prime is 52020061. The next prime is 52020079. The reversal of 52020072 is 27002025.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 26071236 + 25948836 = 5106^2 + 5094^2 .

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

It is not an unprimeable number, because it can be changed into a prime (52020079) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 139278 + ... + 139650.

Almost surely, 2^52020072 is an apocalyptic number.

52020072 is a gapful number since it is divisible by the number (52) 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 52020072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76576500).

52020072 is an abundant number, since it is smaller than the sum of its proper divisors (101132928).

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

52020072 is a wasteful number, since it uses less digits than its factorization.

52020072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 547 (or 540 counting only the distinct ones).

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

The square root of 52020072 is about 7212.4941594430. The cubic root of 52020072 is about 373.2991344807.

Adding to 52020072 its reverse (27002025), we get a palindrome (79022097).

It can be divided in two parts, 520200 and 72, that multiplied together give a square (37454400 = 6120²).

The spelling of 52020072 in words is "fifty-two million, twenty thousand, seventy-two".