75082420 has 48 divisors (see below), whose sum is σ = 181254528. Its totient is φ = 25591680.

The previous prime is 75082417. The next prime is 75082463. The reversal of 75082420 is 2428057.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23859 + ... + 26821.

It is an arithmetic number, because the mean of its divisors is an integer number (3776136).

Almost surely, 2^75082420 is an apocalyptic number.

75082420 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 75082420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90627264).

75082420 is an abundant number, since it is smaller than the sum of its proper divisors (106172108).

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

75082420 is a wasteful number, since it uses less digits than its factorization.

75082420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3160 (or 3158 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 28.

The square root of 75082420 is about 8665.0112521566. The cubic root of 75082420 is about 421.8707554763.

The spelling of 75082420 in words is "seventy-five million, eighty-two thousand, four hundred twenty".