73921680 has 160 divisors (see below), whose sum is σ = 291052800. Its totient is φ = 16892928.

The previous prime is 73921657. The next prime is 73921711. The reversal of 73921680 is 8612937.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 12676 + ... + 17564.

It is an arithmetic number, because the mean of its divisors is an integer number (1819080).

Almost surely, 2^73921680 is an apocalyptic number.

73921680 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 73921680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145526400).

73921680 is an abundant number, since it is smaller than the sum of its proper divisors (217131120).

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

73921680 is a wasteful number, since it uses less digits than its factorization.

73921680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4918 (or 4906 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 73921680 is about 8597.7718043689. The cubic root of 73921680 is about 419.6854788122.

The spelling of 73921680 in words is "seventy-three million, nine hundred twenty-one thousand, six hundred eighty".