52272000 has 384 divisors, whose sum is σ = 211629600. Its totient is φ = 12672000.

The previous prime is 52271977. The next prime is 52272029. The reversal of 52272000 is 27225.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4751995 + ... + 4752005.

Almost surely, 2^52272000 is an apocalyptic number.

52272000 is a gapful number since it is divisible by the number (50) 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 52272000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105814800).

52272000 is an abundant number, since it is smaller than the sum of its proper divisors (159357600).

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

52272000 is a wasteful number, since it uses less digits than its factorization.

52272000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60 (or 21 counting only the distinct ones).

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

The square root of 52272000 is about 7229.9377590682. The cubic root of 52272000 is about 373.9007810622.

Adding to 52272000 its reverse (27225), we get a palindrome (52299225).

It can be divided in two parts, 5227 and 2000, that added together give a palindrome (7227).

The spelling of 52272000 in words is "fifty-two million, two hundred seventy-two thousand".