73587672 has 96 divisors (see below), whose sum is σ = 213763680. Its totient is φ = 22809600.

The previous prime is 73587671. The next prime is 73587677. The reversal of 73587672 is 27678537.

73587672 is a `hidden beast` number, since 7 + 3 + 587 + 67 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73587671) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 60672 + ... + 61872.

It is an arithmetic number, because the mean of its divisors is an integer number (2226705).

Almost surely, 2^73587672 is an apocalyptic number.

73587672 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 73587672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106881840).

73587672 is an abundant number, since it is smaller than the sum of its proper divisors (140176008).

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

73587672 is a wasteful number, since it uses less digits than its factorization.

73587672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1273 (or 1266 counting only the distinct ones).

The product of its digits is 493920, while the sum is 45.

The square root of 73587672 is about 8578.3257107666. The cubic root of 73587672 is about 419.0524215621.

The spelling of 73587672 in words is "seventy-three million, five hundred eighty-seven thousand, six hundred seventy-two".