75216960 has 504 divisors, whose sum is σ = 332009496. Its totient is φ = 15482880.

The previous prime is 75216949. The next prime is 75216971. The reversal of 75216960 is 6961257.

It is an interprime number because it is at equal distance from previous prime (75216949) and next prime (75216971).

It can be written as a sum of positive squares in 4 ways, for example, as 1806336 + 73410624 = 1344^2 + 8568^2 .

It is a tau number, because it is divible by the number of its divisors (504).

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1834540 + ... + 1834580.

It is an arithmetic number, because the mean of its divisors is an integer number (658749).

Almost surely, 2^75216960 is an apocalyptic number.

75216960 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 75216960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166004748).

75216960 is an abundant number, since it is smaller than the sum of its proper divisors (256792536).

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

75216960 is a wasteful number, since it uses less digits than its factorization.

75216960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 75216960 is about 8672.7711834223. The cubic root of 75216960 is about 422.1225881661.

It can be divided in two parts, 75216 and 960, that added together give a square (76176 = 276²).

The spelling of 75216960 in words is "seventy-five million, two hundred sixteen thousand, nine hundred sixty".