75492480 has 256 divisors, whose sum is σ = 283772160. Its totient is φ = 16711680.

The previous prime is 75492467. The next prime is 75492497. The reversal of 75492480 is 8429457.

It is a super-2 number, since 2×75492480² = 11398229073100800, which contains 22 as substring.

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, 550972 + ... + 551108.

It is an arithmetic number, because the mean of its divisors is an integer number (1108485).

Almost surely, 2^75492480 is an apocalyptic number.

75492480 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 75492480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141886080).

75492480 is an abundant number, since it is smaller than the sum of its proper divisors (208279680).

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

75492480 is a wasteful number, since it uses less digits than its factorization.

75492480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The square root of 75492480 is about 8688.6408603417. The cubic root of 75492480 is about 422.6373723202.

The spelling of 75492480 in words is "seventy-five million, four hundred ninety-two thousand, four hundred eighty".