78212736 has 256 divisors, whose sum is σ = 273196800. Its totient is φ = 21565440.

The previous prime is 78212689. The next prime is 78212737. The reversal of 78212736 is 63721287.

It is a super-2 number, since 2×78212736² = 12234464145211392, which contains 22 as substring.

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.

Its product of digits (28224) is a multiple of the sum of its prime divisors (126).

It is a self number, because there is not a number n which added to its sum of digits gives 78212736.

It is not an unprimeable number, because it can be changed into a prime (78212737) 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 31 ways as a sum of consecutive naturals, for example, 1282146 + ... + 1282206.

It is an arithmetic number, because the mean of its divisors is an integer number (1067175).

Almost surely, 2^78212736 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78212736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136598400).

78212736 is an abundant number, since it is smaller than the sum of its proper divisors (194984064).

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

78212736 is a wasteful number, since it uses less digits than its factorization.

78212736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 126 counting only the distinct ones).

The product of its digits is 28224, while the sum is 36.

The square root of 78212736 is about 8843.7964698426. The cubic root of 78212736 is about 427.6539550145.

The spelling of 78212736 in words is "seventy-eight million, two hundred twelve thousand, seven hundred thirty-six".