65975472 has 120 divisors (see below), whose sum is σ = 194987520. Its totient is φ = 21591360.

The previous prime is 65975449. The next prime is 65975479. The reversal of 65975472 is 27457956.

65975472 is a `hidden beast` number, since 6 + 597 + 54 + 7 + 2 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

Its product of digits (529200) is a multiple of the sum of its prime divisors (315).

It is not an unprimeable number, because it can be changed into a prime (65975479) 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, 275929 + ... + 276167.

It is an arithmetic number, because the mean of its divisors is an integer number (1624896).

Almost surely, 2^65975472 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 65975472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97493760).

65975472 is an abundant number, since it is smaller than the sum of its proper divisors (129012048).

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

65975472 is a wasteful number, since it uses less digits than its factorization.

65975472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333 (or 315 counting only the distinct ones).

The product of its digits is 529200, while the sum is 45.

The square root of 65975472 is about 8122.5286703095. The cubic root of 65975472 is about 404.0739334677.

The spelling of 65975472 in words is "sixty-five million, nine hundred seventy-five thousand, four hundred seventy-two".