73896480 has 144 divisors (see below), whose sum is σ = 288235584. Its totient is φ = 16888320.

The previous prime is 73896479. The next prime is 73896499. The reversal of 73896480 is 8469837.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6415 + ... + 13745.

It is an arithmetic number, because the mean of its divisors is an integer number (2001636).

Almost surely, 2^73896480 is an apocalyptic number.

73896480 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 73896480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144117792).

73896480 is an abundant number, since it is smaller than the sum of its proper divisors (214339104).

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

73896480 is a wasteful number, since it uses less digits than its factorization.

73896480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7359 (or 7348 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 73896480 is about 8596.3061834721. The cubic root of 73896480 is about 419.6377829441.

The spelling of 73896480 in words is "seventy-three million, eight hundred ninety-six thousand, four hundred eighty".