73416980 has 144 divisors (see below), whose sum is σ = 199221120. Its totient is φ = 22224384.

The previous prime is 73416979. The next prime is 73416983. The reversal of 73416980 is 8961437.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73416983) 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 47 ways as a sum of consecutive naturals, for example, 686087 + ... + 686193.

It is an arithmetic number, because the mean of its divisors is an integer number (1383480).

Almost surely, 2^73416980 is an apocalyptic number.

73416980 is a gapful number since it is divisible by the number (70) 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 73416980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99610560).

73416980 is an abundant number, since it is smaller than the sum of its proper divisors (125804140).

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

73416980 is a wasteful number, since it uses less digits than its factorization.

73416980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 38.

The square root of 73416980 is about 8568.3709070044. The cubic root of 73416980 is about 418.7281631146.

The spelling of 73416980 in words is "seventy-three million, four hundred sixteen thousand, nine hundred eighty".