75355420 has 96 divisors (see below), whose sum is σ = 189665280. Its totient is φ = 24606720.

The previous prime is 75355411. The next prime is 75355439. The reversal of 75355420 is 2455357.

It is a super-3 number, since 3×75355420³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 420891 + ... + 421069.

It is an arithmetic number, because the mean of its divisors is an integer number (1975680).

Almost surely, 2^75355420 is an apocalyptic number.

75355420 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 75355420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94832640).

75355420 is an abundant number, since it is smaller than the sum of its proper divisors (114309860).

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

75355420 is a wasteful number, since it uses less digits than its factorization.

75355420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 21000, while the sum is 31.

The square root of 75355420 is about 8680.7499676007. The cubic root of 75355420 is about 422.3814449757.

The spelling of 75355420 in words is "seventy-five million, three hundred fifty-five thousand, four hundred twenty".