75725580 has 144 divisors (see below), whose sum is σ = 252806400. Its totient is φ = 16877952.

The previous prime is 75725567. The next prime is 75725593. The reversal of 75725580 is 8552757.

It is an interprime number because it is at equal distance from previous prime (75725567) and next prime (75725593).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 126121 + ... + 126719.

It is an arithmetic number, because the mean of its divisors is an integer number (1755600).

Almost surely, 2^75725580 is an apocalyptic number.

75725580 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 75725580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126403200).

75725580 is an abundant number, since it is smaller than the sum of its proper divisors (177080820).

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

75725580 is a wasteful number, since it uses less digits than its factorization.

75725580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 668 (or 659 counting only the distinct ones).

The product of its (nonzero) digits is 98000, while the sum is 39.

The square root of 75725580 is about 8702.0445873369. The cubic root of 75725580 is about 423.0719213310.

The spelling of 75725580 in words is "seventy-five million, seven hundred twenty-five thousand, five hundred eighty".