73721480 has 96 divisors (see below), whose sum is σ = 199762200. Its totient is φ = 24385536.

The previous prime is 73721471. The next prime is 73721491. The reversal of 73721480 is 8412737.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 73170916 + 550564 = 8554^2 + 742^2 .

It is a super-2 number, since 2×73721480² = 10869713226780800, which contains 22 as substring.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 56192 + ... + 57488.

Almost surely, 2^73721480 is an apocalyptic number.

73721480 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 73721480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99881100).

73721480 is an abundant number, since it is smaller than the sum of its proper divisors (126040720).

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

73721480 is a wasteful number, since it uses less digits than its factorization.

73721480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1351 (or 1340 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 32.

The square root of 73721480 is about 8586.1213594964. The cubic root of 73721480 is about 419.3062621521.

The spelling of 73721480 in words is "seventy-three million, seven hundred twenty-one thousand, four hundred eighty".