78396272 has 40 divisors (see below), whose sum is σ = 157847040. Its totient is φ = 37679040.

The previous prime is 78396271. The next prime is 78396281. The reversal of 78396272 is 27269387.

It is a super-2 number, since 2×78396272² = 12291950926995968, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78396271) 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 7 ways as a sum of consecutive naturals, for example, 88343 + ... + 89225.

It is an arithmetic number, because the mean of its divisors is an integer number (3946176).

Almost surely, 2^78396272 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 78396272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78923520).

78396272 is an abundant number, since it is smaller than the sum of its proper divisors (79450768).

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

78396272 is a wasteful number, since it uses less digits than its factorization.

78396272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1101 (or 1095 counting only the distinct ones).

The product of its digits is 254016, while the sum is 44.

The square root of 78396272 is about 8854.1669286274. The cubic root of 78396272 is about 427.9882082523.

The spelling of 78396272 in words is "seventy-eight million, three hundred ninety-six thousand, two hundred seventy-two".