78272712 has 48 divisors (see below), whose sum is σ = 242274240. Its totient is φ = 22363488.

The previous prime is 78272693. The next prime is 78272759. The reversal of 78272712 is 21727287.

It is a super-2 number, since 2×78272712² = 12253234887669888, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 77148 + ... + 78155.

It is an arithmetic number, because the mean of its divisors is an integer number (5047380).

Almost surely, 2^78272712 is an apocalyptic number.

78272712 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

78272712 is an abundant number, since it is smaller than the sum of its proper divisors (164001528).

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

78272712 is a wasteful number, since it uses less digits than its factorization.

78272712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155322 (or 155315 counting only the distinct ones).

The product of its digits is 21952, while the sum is 36.

The square root of 78272712 is about 8847.1866714792. The cubic root of 78272712 is about 427.7632399450.

Adding to 78272712 its reverse (21727287), we get a palindrome (99999999).

The spelling of 78272712 in words is "seventy-eight million, two hundred seventy-two thousand, seven hundred twelve".