65973952 has 56 divisors (see below), whose sum is σ = 147474432. Its totient is φ = 29011200.

The previous prime is 65973937. The next prime is 65973967. The reversal of 65973952 is 25937956.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (65973937) and next prime (65973967).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20313 + ... + 23335.

It is an arithmetic number, because the mean of its divisors is an integer number (2633472).

Almost surely, 2^65973952 is an apocalyptic number.

65973952 is a gapful number since it is divisible by the number (62) 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 65973952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73737216).

65973952 is an abundant number, since it is smaller than the sum of its proper divisors (81500480).

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

65973952 is a wasteful number, since it uses less digits than its factorization.

65973952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3077 (or 3067 counting only the distinct ones).

The product of its digits is 510300, while the sum is 46.

The square root of 65973952 is about 8122.4351028494. The cubic root of 65973952 is about 404.0708303090.

The spelling of 65973952 in words is "sixty-five million, nine hundred seventy-three thousand, nine hundred fifty-two".