75054560 has 96 divisors (see below), whose sum is σ = 213373440. Its totient is φ = 24371712.

The previous prime is 75054547. The next prime is 75054569. The reversal of 75054560 is 6545057.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75054569) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19517 + ... + 23043.

It is an arithmetic number, because the mean of its divisors is an integer number (2222640).

Almost surely, 2^75054560 is an apocalyptic number.

75054560 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 75054560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106686720).

75054560 is an abundant number, since it is smaller than the sum of its proper divisors (138318880).

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

75054560 is a wasteful number, since it uses less digits than its factorization.

75054560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3568 (or 3560 counting only the distinct ones).

The product of its (nonzero) digits is 21000, while the sum is 32.

The square root of 75054560 is about 8663.4034882372. The cubic root of 75054560 is about 421.8185693885.

The spelling of 75054560 in words is "seventy-five million, fifty-four thousand, five hundred sixty".