65142792 has 320 divisors, whose sum is σ = 231739200. Its totient is φ = 16796160.

The previous prime is 65142769. The next prime is 65142817. The reversal of 65142792 is 29724156.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1760598 + ... + 1760634.

It is an arithmetic number, because the mean of its divisors is an integer number (724185).

Almost surely, 2^65142792 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 65142792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115869600).

65142792 is an abundant number, since it is smaller than the sum of its proper divisors (166596408).

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

65142792 is a wasteful number, since it uses less digits than its factorization.

65142792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 85 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 65142792 is about 8071.1084740573. The cubic root of 65142792 is about 402.3667848694.

The spelling of 65142792 in words is "sixty-five million, one hundred forty-two thousand, seven hundred ninety-two".