73252480 has 128 divisors (see below), whose sum is σ = 203575680. Its totient is φ = 24686592.

The previous prime is 73252477. The next prime is 73252481. The reversal of 73252480 is 8425237.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (73252481) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 371742 + ... + 371938.

It is an arithmetic number, because the mean of its divisors is an integer number (1590435).

Almost surely, 2^73252480 is an apocalyptic number.

73252480 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 73252480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101787840).

73252480 is an abundant number, since it is smaller than the sum of its proper divisors (130323200).

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

73252480 is a wasteful number, since it uses less digits than its factorization.

73252480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 31.

The square root of 73252480 is about 8558.7662662325. The cubic root of 73252480 is about 418.4151915000.

The spelling of 73252480 in words is "seventy-three million, two hundred fifty-two thousand, four hundred eighty".