78564192 has 48 divisors (see below), whose sum is σ = 235694592. Its totient is φ = 22446720.

The previous prime is 78564169. The next prime is 78564217. The reversal of 78564192 is 29146587.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×78564192² = 12344664529225728, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 57784 + ... + 59127.

It is an arithmetic number, because the mean of its divisors is an integer number (4910304).

Almost surely, 2^78564192 is an apocalyptic number.

It is an amenable number.

78564192 is an abundant number, since it is smaller than the sum of its proper divisors (157130400).

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

78564192 is a wasteful number, since it uses less digits than its factorization.

78564192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116931 (or 116923 counting only the distinct ones).

The product of its digits is 120960, while the sum is 42.

The square root of 78564192 is about 8863.6443971992. The cubic root of 78564192 is about 428.2935651566.

The spelling of 78564192 in words is "seventy-eight million, five hundred sixty-four thousand, one hundred ninety-two".