78250752 has 72 divisors (see below), whose sum is σ = 231421680. Its totient is φ = 26081280.

The previous prime is 78250747. The next prime is 78250769. The reversal of 78250752 is 25705287.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×78250752² = 12246360377131008, 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 (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1252 + ... + 12572.

It is an arithmetic number, because the mean of its divisors is an integer number (3214190).

Almost surely, 2^78250752 is an apocalyptic number.

78250752 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 78250752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115710840).

78250752 is an abundant number, since it is smaller than the sum of its proper divisors (153170928).

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

78250752 is a wasteful number, since it uses less digits than its factorization.

78250752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11346 (or 11326 counting only the distinct ones).

The product of its (nonzero) digits is 39200, while the sum is 36.

The square root of 78250752 is about 8845.9455119280. The cubic root of 78250752 is about 427.7232321349.

The spelling of 78250752 in words is "seventy-eight million, two hundred fifty thousand, seven hundred fifty-two".