78167232 has 252 divisors, whose sum is σ = 268294104. Its totient is φ = 21565440.

The previous prime is 78167231. The next prime is 78167263. The reversal of 78167232 is 23276187.

It is a super-2 number, since 2×78167232² = 12220232317083648, which contains 22 as substring.

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

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (78167231) 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 35 ways as a sum of consecutive naturals, for example, 1070748 + ... + 1070820.

Almost surely, 2^78167232 is an apocalyptic number.

78167232 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 78167232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134147052).

78167232 is an abundant number, since it is smaller than the sum of its proper divisors (190126872).

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

78167232 is a wasteful number, since it uses less digits than its factorization.

78167232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 102 counting only the distinct ones).

The product of its digits is 28224, while the sum is 36.

The square root of 78167232 is about 8841.2234447502. The cubic root of 78167232 is about 427.5710028778.

The spelling of 78167232 in words is "seventy-eight million, one hundred sixty-seven thousand, two hundred thirty-two".