75435920 has 40 divisors (see below), whose sum is σ = 200445504. Its totient is φ = 25863552.

The previous prime is 75435917. The next prime is 75435923. The reversal of 75435920 is 2953457.

It is an interprime number because it is at equal distance from previous prime (75435917) and next prime (75435923).

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is not an unprimeable number, because it can be changed into a prime (75435923) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 66794 + ... + 67913.

Almost surely, 2^75435920 is an apocalyptic number.

75435920 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

75435920 is an abundant number, since it is smaller than the sum of its proper divisors (125009584).

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

75435920 is a wasteful number, since it uses less digits than its factorization.

75435920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134727 (or 134721 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 35.

The square root of 75435920 is about 8685.3854261052. The cubic root of 75435920 is about 422.5317973805.

The spelling of 75435920 in words is "seventy-five million, four hundred thirty-five thousand, nine hundred twenty".