75240480 has 192 divisors, whose sum is σ = 276998400. Its totient is φ = 17160192.

The previous prime is 75240479. The next prime is 75240491. The reversal of 75240480 is 8404257.

It is a super-2 number, since 2×75240480² = 11322259661260800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 164412 + ... + 164868.

It is an arithmetic number, because the mean of its divisors is an integer number (1442700).

Almost surely, 2^75240480 is an apocalyptic number.

75240480 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 75240480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138499200).

75240480 is an abundant number, since it is smaller than the sum of its proper divisors (201757920).

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

75240480 is a wasteful number, since it uses less digits than its factorization.

75240480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496 (or 474 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 30.

The square root of 75240480 is about 8674.1270454150. The cubic root of 75240480 is about 422.1665821829.

The spelling of 75240480 in words is "seventy-five million, two hundred forty thousand, four hundred eighty".