92765952 has 72 divisors (see below), whose sum is σ = 274345680. Its totient is φ = 30919680.

The previous prime is 92765951. The next prime is 92765971. The reversal of 92765952 is 25956729.

92765952 is nontrivially palindromic in base 11.

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 92765898 and 92765907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (92765951) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 202 + ... + 13622.

Almost surely, 2^92765952 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 92765952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137172840).

92765952 is an abundant number, since it is smaller than the sum of its proper divisors (181579728).

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

92765952 is a wasteful number, since it uses less digits than its factorization.

92765952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13446 (or 13426 counting only the distinct ones).

The product of its digits is 340200, while the sum is 45.

The square root of 92765952 is about 9631.5082930972. The cubic root of 92765952 is about 452.6851019720.

The spelling of 92765952 in words is "ninety-two million, seven hundred sixty-five thousand, nine hundred fifty-two".