73872960 has 112 divisors (see below), whose sum is σ = 268077696. Its totient is φ = 16883712.

The previous prime is 73872943. The next prime is 73872961. The reversal of 73872960 is 6927837.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (73872961) 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 15 ways as a sum of consecutive naturals, for example, 1224 + ... + 12216.

Almost surely, 2^73872960 is an apocalyptic number.

73872960 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 73872960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134038848).

73872960 is an abundant number, since it is smaller than the sum of its proper divisors (194204736).

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

73872960 is a wasteful number, since it uses less digits than its factorization.

73872960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11020 (or 11010 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 42.

The square root of 73872960 is about 8594.9380451519. The cubic root of 73872960 is about 419.5932570164.

The spelling of 73872960 in words is "seventy-three million, eight hundred seventy-two thousand, nine hundred sixty".