75115620 has 96 divisors (see below), whose sum is σ = 235952640. Its totient is φ = 19837440.

The previous prime is 75115561. The next prime is 75115627. The reversal of 75115620 is 2651157.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (75115627) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 60405 + ... + 61635.

It is an arithmetic number, because the mean of its divisors is an integer number (2457840).

Almost surely, 2^75115620 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 75115620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117976320).

75115620 is an abundant number, since it is smaller than the sum of its proper divisors (160837020).

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

75115620 is a wasteful number, since it uses less digits than its factorization.

75115620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1362 (or 1354 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 27.

The square root of 75115620 is about 8666.9267909681. The cubic root of 75115620 is about 421.9329273543.

Adding to 75115620 its reverse (2651157), we get a palindrome (77766777).

It can be divided in two parts, 7511 and 5620, that added together give a palindrome (13131).

The spelling of 75115620 in words is "seventy-five million, one hundred fifteen thousand, six hundred twenty".