78263172 has 120 divisors (see below), whose sum is σ = 233507736. Its totient is φ = 22643712.

The previous prime is 78263161. The next prime is 78263191. The reversal of 78263172 is 27136287.

It can be written as a sum of positive squares in 4 ways, for example, as 30735936 + 47527236 = 5544^2 + 6894^2 .

It is a super-2 number, since 2×78263172² = 12250248183003168, which contains 22 as substring.

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

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 71058 + ... + 72150.

Almost surely, 2^78263172 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 78263172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116753868).

78263172 is an abundant number, since it is smaller than the sum of its proper divisors (155244564).

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

78263172 is a wasteful number, since it uses less digits than its factorization.

78263172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1139 (or 1128 counting only the distinct ones).

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

The square root of 78263172 is about 8846.6475006072. The cubic root of 78263172 is about 427.7458604223.

The spelling of 78263172 in words is "seventy-eight million, two hundred sixty-three thousand, one hundred seventy-two".