75953472 has 112 divisors (see below), whose sum is σ = 237207552. Its totient is φ = 20989440.

The previous prime is 75953447. The next prime is 75953509. The reversal of 75953472 is 27435957.

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 (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40753 + ... + 42575.

Almost surely, 2^75953472 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 75953472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118603776).

75953472 is an abundant number, since it is smaller than the sum of its proper divisors (161254080).

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

75953472 is a wasteful number, since it uses less digits than its factorization.

75953472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1876 (or 1866 counting only the distinct ones).

The product of its digits is 264600, while the sum is 42.

The square root of 75953472 is about 8715.1289147092. The cubic root of 75953472 is about 423.4959002534.

The spelling of 75953472 in words is "seventy-five million, nine hundred fifty-three thousand, four hundred seventy-two".