75720960 has 288 divisors, whose sum is σ = 308071680. Its totient is φ = 17252352.

The previous prime is 75720959. The next prime is 75720977. The reversal of 75720960 is 6902757.

It is a tau number, because it is divible by the number of its divisors (288).

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 31 ways as a sum of consecutive naturals, for example, 241764 + ... + 242076.

Almost surely, 2^75720960 is an apocalyptic number.

75720960 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 75720960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154035840).

75720960 is an abundant number, since it is smaller than the sum of its proper divisors (232350720).

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

75720960 is a wasteful number, since it uses less digits than its factorization.

75720960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The square root of 75720960 is about 8701.7791284312. The cubic root of 75720960 is about 423.0633173162.

The spelling of 75720960 in words is "seventy-five million, seven hundred twenty thousand, nine hundred sixty".