75449920 has 112 divisors (see below), whose sum is σ = 221211648. Its totient is φ = 23869440.

The previous prime is 75449917. The next prime is 75449951. The reversal of 75449920 is 2994457.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (40).

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, 27825 + ... + 30415.

It is an arithmetic number, because the mean of its divisors is an integer number (1975104).

Almost surely, 2^75449920 is an apocalyptic number.

75449920 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 75449920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110605824).

75449920 is an abundant number, since it is smaller than the sum of its proper divisors (145761728).

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

75449920 is a wasteful number, since it uses less digits than its factorization.

75449920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2628 (or 2618 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 40.

The square root of 75449920 is about 8686.1913402826. The cubic root of 75449920 is about 422.5579347045.

The spelling of 75449920 in words is "seventy-five million, four hundred forty-nine thousand, nine hundred twenty".