75312020 has 144 divisors (see below), whose sum is σ = 197955072. Its totient is φ = 23950080.

The previous prime is 75311987. The next prime is 75312037. The reversal of 75312020 is 2021357.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 75311983 and 75312001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1124027 + ... + 1124093.

It is an arithmetic number, because the mean of its divisors is an integer number (1374688).

Almost surely, 2^75312020 is an apocalyptic number.

75312020 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 75312020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98977536).

75312020 is an abundant number, since it is smaller than the sum of its proper divisors (122643052).

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

75312020 is a wasteful number, since it uses less digits than its factorization.

75312020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 20.

The square root of 75312020 is about 8678.2498235531. The cubic root of 75312020 is about 422.3003409884.

Adding to 75312020 its reverse (2021357), we get a palindrome (77333377).

The spelling of 75312020 in words is "seventy-five million, three hundred twelve thousand, twenty".