78232752 has 180 divisors, whose sum is σ = 249602080. Its totient is φ = 22733568.

The previous prime is 78232741. The next prime is 78232753. The reversal of 78232752 is 25723287.

It is a happy number.

It is a super-2 number, since 2×78232752² = 12240726970987008, 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 (47040) is a multiple of the sum of its prime divisors (120).

It is not an unprimeable number, because it can be changed into a prime (78232753) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 990249 + ... + 990327.

Almost surely, 2^78232752 is an apocalyptic number.

78232752 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 78232752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124801040).

78232752 is an abundant number, since it is smaller than the sum of its proper divisors (171369328).

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

78232752 is a wasteful number, since it uses less digits than its factorization.

78232752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 120 counting only the distinct ones).

The product of its digits is 47040, while the sum is 36.

The square root of 78232752 is about 8844.9280381471. The cubic root of 78232752 is about 427.6904332655.

The spelling of 78232752 in words is "seventy-eight million, two hundred thirty-two thousand, seven hundred fifty-two".