75948384 has 96 divisors (see below), whose sum is σ = 213101280. Its totient is φ = 23601152.

The previous prime is 75948347. The next prime is 75948391. The reversal of 75948384 is 48384957.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×75948384² = 11536314064422912, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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, 282202 + ... + 282470.

It is an arithmetic number, because the mean of its divisors is an integer number (2219805).

Almost surely, 2^75948384 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 75948384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106550640).

75948384 is an abundant number, since it is smaller than the sum of its proper divisors (137152896).

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

75948384 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (75948383) it forms an eRAP, since the sums of their prime factors are consecutive (471 and 472).

With its predecessor (75948383) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (464).

75948384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 472 (or 464 counting only the distinct ones).

The product of its digits is 967680, while the sum is 48.

The square root of 75948384 is about 8714.8370036393. The cubic root of 75948384 is about 423.4864436075.

The spelling of 75948384 in words is "seventy-five million, nine hundred forty-eight thousand, three hundred eighty-four".