78193152 has 120 divisors (see below), whose sum is σ = 229806720. Its totient is φ = 25589760.

The previous prime is 78193121. The next prime is 78193163. The reversal of 78193152 is 25139187.

It is a super-2 number, since 2×78193152² = 12228338039390208, which contains 22 as substring.

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

Its product of digits (15120) is a multiple of the sum of its prime divisors (315).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 327049 + ... + 327287.

It is an arithmetic number, because the mean of its divisors is an integer number (1915056).

Almost surely, 2^78193152 is an apocalyptic number.

78193152 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 78193152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114903360).

78193152 is an abundant number, since it is smaller than the sum of its proper divisors (151613568).

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

78193152 is a wasteful number, since it uses less digits than its factorization.

78193152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 315 counting only the distinct ones).

The product of its digits is 15120, while the sum is 36.

The square root of 78193152 is about 8842.6891837269. The cubic root of 78193152 is about 427.6182580397.

The spelling of 78193152 in words is "seventy-eight million, one hundred ninety-three thousand, one hundred fifty-two".