75495420 has 288 divisors, whose sum is σ = 308206080. Its totient is φ = 14446080.

The previous prime is 75495403. The next prime is 75495421. The reversal of 75495420 is 2459457.

75495420 is a `hidden beast` number, since 75 + 49 + 542 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75495421) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 179971 + ... + 180389.

It is an arithmetic number, because the mean of its divisors is an integer number (1070160).

Almost surely, 2^75495420 is an apocalyptic number.

75495420 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 75495420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154103040).

75495420 is an abundant number, since it is smaller than the sum of its proper divisors (232710660).

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

75495420 is a wasteful number, since it uses less digits than its factorization.

75495420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 75495420 is about 8688.8100451097. The cubic root of 75495420 is about 422.6428586846.

The spelling of 75495420 in words is "seventy-five million, four hundred ninety-five thousand, four hundred twenty".