75121620 has 96 divisors (see below), whose sum is σ = 241532928. Its totient is φ = 17089152.

The previous prime is 75121619. The next prime is 75121633. The reversal of 75121620 is 2612157.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 160627 + ... + 161093.

It is an arithmetic number, because the mean of its divisors is an integer number (2515968).

Almost surely, 2^75121620 is an apocalyptic number.

75121620 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 75121620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120766464).

75121620 is an abundant number, since it is smaller than the sum of its proper divisors (166411308).

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

75121620 is a wasteful number, since it uses less digits than its factorization.

75121620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 869 (or 867 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 75121620 is about 8667.2729275130. The cubic root of 75121620 is about 421.9441612813.

Adding to 75121620 its reverse (2612157), we get a palindrome (77733777).

The spelling of 75121620 in words is "seventy-five million, one hundred twenty-one thousand, six hundred twenty".