75896352 has 240 divisors, whose sum is σ = 263450880. Its totient is φ = 20984832.

The previous prime is 75896351. The next prime is 75896357. The reversal of 75896352 is 25369857.

It is a happy number.

75896352 is a `hidden beast` number, since 7 + 5 + 8 + 9 + 635 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 75896298 and 75896307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75896351) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 852724 + ... + 852812.

It is an arithmetic number, because the mean of its divisors is an integer number (1097712).

Almost surely, 2^75896352 is an apocalyptic number.

75896352 is a gapful number since it is divisible by the number (72) 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 75896352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131725440).

75896352 is an abundant number, since it is smaller than the sum of its proper divisors (187554528).

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

75896352 is a wasteful number, since it uses less digits than its factorization.

75896352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 148 counting only the distinct ones).

The product of its digits is 453600, while the sum is 45.

The square root of 75896352 is about 8711.8512383993. The cubic root of 75896352 is about 423.3897117685.

The spelling of 75896352 in words is "seventy-five million, eight hundred ninety-six thousand, three hundred fifty-two".