78273072 has 60 divisors (see below), whose sum is σ = 224167944. Its totient is φ = 25482240.

The previous prime is 78273037. The next prime is 78273073. The reversal of 78273072 is 27037287.

It is a super-2 number, since 2×78273072² = 12253347600634368, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (78273073) by changing a digit.

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, 129 + ... + 12512.

Almost surely, 2^78273072 is an apocalyptic number.

78273072 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 78273072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112083972).

78273072 is an abundant number, since it is smaller than the sum of its proper divisors (145894872).

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

78273072 is a wasteful number, since it uses less digits than its factorization.

78273072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12698 (or 12689 counting only the distinct ones).

The product of its (nonzero) digits is 32928, while the sum is 36.

The square root of 78273072 is about 8847.2070169065. The cubic root of 78273072 is about 427.7638957484.

The spelling of 78273072 in words is "seventy-eight million, two hundred seventy-three thousand, seventy-two".