75436920 has 224 divisors, whose sum is σ = 275436000. Its totient is φ = 18475776.

The previous prime is 75436913. The next prime is 75436937. The reversal of 75436920 is 2963457.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 378981 + ... + 379179.

It is an arithmetic number, because the mean of its divisors is an integer number (1229625).

Almost surely, 2^75436920 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75436920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137718000).

75436920 is an abundant number, since it is smaller than the sum of its proper divisors (199999080).

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

75436920 is a wasteful number, since it uses less digits than its factorization.

75436920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 75436920 is about 8685.4429938835. The cubic root of 75436920 is about 422.5336644394.

The spelling of 75436920 in words is "seventy-five million, four hundred thirty-six thousand, nine hundred twenty".