78095232 has 128 divisors (see below), whose sum is σ = 235008000. Its totient is φ = 25523712.

The previous prime is 78095207. The next prime is 78095233. The reversal of 78095232 is 23259087.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×78095232² = 12197730522267648, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78095233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 203713 + ... + 204095.

It is an arithmetic number, because the mean of its divisors is an integer number (1836000).

Almost surely, 2^78095232 is an apocalyptic number.

78095232 is a gapful number since it is divisible by the number (72) 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 78095232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117504000).

78095232 is an abundant number, since it is smaller than the sum of its proper divisors (156912768).

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

78095232 is a wasteful number, since it uses less digits than its factorization.

78095232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465 (or 447 counting only the distinct ones).

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

The square root of 78095232 is about 8837.1506720209. The cubic root of 78095232 is about 427.4396837033.

It can be divided in two parts, 7809 and 5232, that added together give a triangular number (13041 = T₁₆₁).

The spelling of 78095232 in words is "seventy-eight million, ninety-five thousand, two hundred thirty-two".