75481952 has 144 divisors (see below), whose sum is σ = 195098400. Its totient is φ = 28562688.

The previous prime is 75481951. The next prime is 75481963. The reversal of 75481952 is 25918457.

Its product of digits (100800) is a multiple of the sum of its prime divisors (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75481951) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3281813 + ... + 3281835.

It is an arithmetic number, because the mean of its divisors is an integer number (1354850).

Almost surely, 2^75481952 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 75481952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97549200).

75481952 is an abundant number, since it is smaller than the sum of its proper divisors (119616448).

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

75481952 is a wasteful number, since it uses less digits than its factorization.

75481952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 45 counting only the distinct ones).

The product of its digits is 100800, while the sum is 41.

The square root of 75481952 is about 8688.0349907214. The cubic root of 75481952 is about 422.6177247425.

The spelling of 75481952 in words is "seventy-five million, four hundred eighty-one thousand, nine hundred fifty-two".