75816720 has 240 divisors, whose sum is σ = 297897600. Its totient is φ = 17273088.

The previous prime is 75816709. The next prime is 75816721. The reversal of 75816720 is 2761857.

75816720 is a `hidden beast` number, since 7 + 581 + 6 + 72 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-3 number, since 3×75816720³ (a number of 25 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (75816721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 246807 + ... + 247113.

It is an arithmetic number, because the mean of its divisors is an integer number (1241240).

Almost surely, 2^75816720 is an apocalyptic number.

75816720 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 75816720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148948800).

75816720 is an abundant number, since it is smaller than the sum of its proper divisors (222080880).

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

75816720 is a wasteful number, since it uses less digits than its factorization.

75816720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The square root of 75816720 is about 8707.2797129758. The cubic root of 75816720 is about 423.2415835773.

The spelling of 75816720 in words is "seventy-five million, eight hundred sixteen thousand, seven hundred twenty".