75720000 has 140 divisors (see below), whose sum is σ = 250744736. Its totient is φ = 20160000.

The previous prime is 75719993. The next prime is 75720013. The reversal of 75720000 is 2757.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 119685 + ... + 120315.

Almost surely, 2^75720000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125372368).

75720000 is an abundant number, since it is smaller than the sum of its proper divisors (175024736).

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

75720000 is an equidigital number, since it uses as much as digits as its factorization.

75720000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 666 (or 641 counting only the distinct ones).

The product of its (nonzero) digits is 490, while the sum is 21.

The square root of 75720000 is about 8701.7239671228. The cubic root of 75720000 is about 423.0615294251.

Adding to 75720000 its reverse (2757), we get a palindrome (75722757).

The spelling of 75720000 in words is "seventy-five million, seven hundred twenty thousand".