78262272 has 156 divisors (see below), whose sum is σ = 247892424. Its totient is φ = 23592960.

The previous prime is 78262241. The next prime is 78262319. The reversal of 78262272 is 27226287.

It is a super-2 number, since 2×78262272² = 12249966437203968, 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 11 ways as a sum of consecutive naturals, for example, 405408 + ... + 405600.

It is an arithmetic number, because the mean of its divisors is an integer number (1589054).

Almost surely, 2^78262272 is an apocalyptic number.

78262272 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 78262272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123946212).

78262272 is an abundant number, since it is smaller than the sum of its proper divisors (169630152).

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

78262272 is a wasteful number, since it uses less digits than its factorization.

78262272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 209 counting only the distinct ones).

The product of its digits is 37632, while the sum is 36.

The square root of 78262272 is about 8846.5966337344. The cubic root of 78262272 is about 427.7442207718.

The spelling of 78262272 in words is "seventy-eight million, two hundred sixty-two thousand, two hundred seventy-two".