78322972 has 72 divisors (see below), whose sum is σ = 174953520. Its totient is φ = 30401280.

The previous prime is 78322949. The next prime is 78322973. The reversal of 78322972 is 27922387.

It is a super-2 number, since 2×78322972² = 12268975885825568, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78322973) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 150072 + ... + 150592.

It is an arithmetic number, because the mean of its divisors is an integer number (2429910).

Almost surely, 2^78322972 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 78322972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87476760).

78322972 is an abundant number, since it is smaller than the sum of its proper divisors (96630548).

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

78322972 is a wasteful number, since it uses less digits than its factorization.

78322972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 611 (or 602 counting only the distinct ones).

The product of its digits is 84672, while the sum is 40.

The square root of 78322972 is about 8850.0266666265. The cubic root of 78322972 is about 427.8547779359.

The spelling of 78322972 in words is "seventy-eight million, three hundred twenty-two thousand, nine hundred seventy-two".