73078992 has 90 divisors (see below), whose sum is σ = 237933618. Its totient is φ = 20877696.

The previous prime is 73078991. The next prime is 73079003. The reversal of 73078992 is 29987037.

It can be written as a sum of positive squares in only one way, i.e., 62346816 + 10732176 = 7896^2 + 3276^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73078991) 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 17 ways as a sum of consecutive naturals, for example, 1878 + ... + 12234.

Almost surely, 2^73078992 is an apocalyptic number.

73078992 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 73078992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118966809).

73078992 is an abundant number, since it is smaller than the sum of its proper divisors (164854626).

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

73078992 is a wasteful number, since it uses less digits than its factorization.

73078992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10385 (or 10369 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The square root of 73078992 is about 8548.6251526196. The cubic root of 73078992 is about 418.0846115814.

The spelling of 73078992 in words is "seventy-three million, seventy-eight thousand, nine hundred ninety-two".