75705552 has 120 divisors (see below), whose sum is σ = 234549224. Its totient is φ = 22643712.

The previous prime is 75705547. The next prime is 75705569. The reversal of 75705552 is 25550757.

It can be written as a sum of positive squares in 4 ways, for example, as 35712576 + 39992976 = 5976^2 + 6324^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 68718 + ... + 69810.

Almost surely, 2^75705552 is an apocalyptic number.

75705552 is a gapful number since it is divisible by the number (72) 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 75705552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117274612).

75705552 is an abundant number, since it is smaller than the sum of its proper divisors (158843672).

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

75705552 is a wasteful number, since it uses less digits than its factorization.

75705552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1157 (or 1148 counting only the distinct ones).

The product of its (nonzero) digits is 61250, while the sum is 36.

The square root of 75705552 is about 8700.8937471963. The cubic root of 75705552 is about 423.0346198381.

The spelling of 75705552 in words is "seventy-five million, seven hundred five thousand, five hundred fifty-two".