73951980 has 48 divisors (see below), whose sum is σ = 209018880. Its totient is φ = 19534528.

The previous prime is 73951961. The next prime is 73951981. The reversal of 73951980 is 8915937.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (73951981) 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 15 ways as a sum of consecutive naturals, for example, 661 + ... + 12179.

It is an arithmetic number, because the mean of its divisors is an integer number (4354560).

Almost surely, 2^73951980 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 73951980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104509440).

73951980 is an abundant number, since it is smaller than the sum of its proper divisors (135066900).

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

73951980 is a wasteful number, since it uses less digits than its factorization.

73951980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11638 (or 11636 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 42.

The square root of 73951980 is about 8599.5337082891. The cubic root of 73951980 is about 419.7428130653.

The spelling of 73951980 in words is "seventy-three million, nine hundred fifty-one thousand, nine hundred eighty".