65052072 has 96 divisors (see below), whose sum is σ = 184984800. Its totient is φ = 21415104.

The previous prime is 65052049. The next prime is 65052083. The reversal of 65052072 is 27025056.

65052072 is a `hidden beast` number, since 650 + 5 + 2 + 0 + 7 + 2 = 666.

65052072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 211743 + ... + 212049.

It is an arithmetic number, because the mean of its divisors is an integer number (1926925).

Almost surely, 2^65052072 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 65052072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92492400).

65052072 is an abundant number, since it is smaller than the sum of its proper divisors (119932728).

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

65052072 is a wasteful number, since it uses less digits than its factorization.

65052072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 65052072 is about 8065.4864701393. The cubic root of 65052072 is about 402.1799150117.

The spelling of 65052072 in words is "sixty-five million, fifty-two thousand, seventy-two".