78072228 has 96 divisors (see below), whose sum is σ = 230872320. Its totient is φ = 22602240.

The previous prime is 78072209. The next prime is 78072271. The reversal of 78072228 is 82227087.

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

It is a junction number, because it is equal to n+sod(n) for n = 78072192 and 78072201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22233 + ... + 25503.

It is an arithmetic number, because the mean of its divisors is an integer number (2404920).

Almost surely, 2^78072228 is an apocalyptic number.

78072228 is a gapful number since it is divisible by the number (78) 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 78072228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115436160).

78072228 is an abundant number, since it is smaller than the sum of its proper divisors (152800092).

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

78072228 is a wasteful number, since it uses less digits than its factorization.

78072228 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3314 (or 3306 counting only the distinct ones).

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

The square root of 78072228 is about 8835.8490254191. The cubic root of 78072228 is about 427.3977102142.

The spelling of 78072228 in words is "seventy-eight million, seventy-two thousand, two hundred twenty-eight".