78028272 has 240 divisors, whose sum is σ = 268649472. Its totient is φ = 21461760.

The previous prime is 78028261. The next prime is 78028297. The reversal of 78028272 is 27282087.

It is a super-2 number, since 2×78028272² = 12176822462611968, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1279122 + ... + 1279182.

Almost surely, 2^78028272 is an apocalyptic number.

78028272 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 78028272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134324736).

78028272 is an abundant number, since it is smaller than the sum of its proper divisors (190621200).

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

78028272 is a wasteful number, since it uses less digits than its factorization.

78028272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 36.

The square root of 78028272 is about 8833.3613081318. The cubic root of 78028272 is about 427.3174844153.

The spelling of 78028272 in words is "seventy-eight million, twenty-eight thousand, two hundred seventy-two".