72978 has 8 divisors (see below), whose sum is σ = 145968. Its totient is φ = 24324.

The previous prime is 72977. The next prime is 72997. The reversal of 72978 is 87927.

It is a sphenic number, since it is the product of 3 distinct primes.

72978 is an admirable number.

It is not an unprimeable number, because it can be changed into a prime (72973) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 6076 + ... + 6087.

It is an arithmetic number, because the mean of its divisors is an integer number (18246).

2⁷²⁹⁷⁸ is an apocalyptic number.

72978 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72984).

72978 is a wasteful number, since it uses less digits than its factorization.

72978 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12168.

The product of its digits is 7056, while the sum is 33.

The square root of 72978 is about 270.1444058277. The cubic root of 72978 is about 41.7891931190.

The spelling of 72978 in words is "seventy-two thousand, nine hundred seventy-eight".