78267232 has 48 divisors (see below), whose sum is σ = 163825200. Its totient is φ = 36702720.

The previous prime is 78267151. The next prime is 78267253. The reversal of 78267232 is 23276287.

It is a happy number.

It is a super-2 number, since 2×78267232² = 12251519209883648, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 78267191 and 78267200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 65682 + ... + 66862.

It is an arithmetic number, because the mean of its divisors is an integer number (3413025).

Almost surely, 2^78267232 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 78267232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81912600).

78267232 is an abundant number, since it is smaller than the sum of its proper divisors (85557968).

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

78267232 is a wasteful number, since it uses less digits than its factorization.

78267232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1319 (or 1311 counting only the distinct ones).

The product of its digits is 56448, while the sum is 37.

The square root of 78267232 is about 8846.8769630870. The cubic root of 78267232 is about 427.7532569117.

The spelling of 78267232 in words is "seventy-eight million, two hundred sixty-seven thousand, two hundred thirty-two".