52065972 has 72 divisors (see below), whose sum is σ = 151126976. Its totient is φ = 14805504.

The previous prime is 52065971. The next prime is 52066037. The reversal of 52065972 is 27956025.

52065972 is a `hidden beast` number, since 520 + 65 + 9 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52065971) 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, 77028 + ... + 77700.

Almost surely, 2^52065972 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 52065972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75563488).

52065972 is an abundant number, since it is smaller than the sum of its proper divisors (99061004).

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

52065972 is a wasteful number, since it uses less digits than its factorization.

52065972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 997 (or 992 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 52065972 is about 7215.6754361598. The cubic root of 52065972 is about 373.4088959154.

The spelling of 52065972 in words is "fifty-two million, sixty-five thousand, nine hundred seventy-two".