75959520 has 384 divisors, whose sum is σ = 308883456. Its totient is φ = 15261696.

The previous prime is 75959489. The next prime is 75959591. The reversal of 75959520 is 2595957.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1616137 + ... + 1616183.

It is an arithmetic number, because the mean of its divisors is an integer number (804384).

Almost surely, 2^75959520 is an apocalyptic number.

75959520 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 75959520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154441728).

75959520 is an abundant number, since it is smaller than the sum of its proper divisors (232923936).

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

75959520 is a wasteful number, since it uses less digits than its factorization.

75959520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 141750, while the sum is 42.

The square root of 75959520 is about 8715.4758906212. The cubic root of 75959520 is about 423.5071406227.

The spelling of 75959520 in words is "seventy-five million, nine hundred fifty-nine thousand, five hundred twenty".