75973464 has 112 divisors (see below), whose sum is σ = 244219920. Its totient is φ = 21695040.

The previous prime is 75973453. The next prime is 75973481. The reversal of 75973464 is 46437957.

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 27 ways as a sum of consecutive naturals, for example, 39894 + ... + 41754.

It is an arithmetic number, because the mean of its divisors is an integer number (2180535).

Almost surely, 2^75973464 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 75973464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122109960).

75973464 is an abundant number, since it is smaller than the sum of its proper divisors (168246456).

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

75973464 is a wasteful number, since it uses less digits than its factorization.

75973464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1892 (or 1873 counting only the distinct ones).

The product of its digits is 635040, while the sum is 45.

The square root of 75973464 is about 8716.2758102300. The cubic root of 75973464 is about 423.5330536452.

The spelling of 75973464 in words is "seventy-five million, nine hundred seventy-three thousand, four hundred sixty-four".