75232248 has 256 divisors, whose sum is σ = 255360000. Its totient is φ = 18289152.

The previous prime is 75232207. The next prime is 75232249. The reversal of 75232248 is 84223257.

It is a super-2 number, since 2×75232248² = 11319782278267008, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75232249) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2033286 + ... + 2033322.

It is an arithmetic number, because the mean of its divisors is an integer number (997500).

Almost surely, 2^75232248 is an apocalyptic number.

75232248 is a gapful number since it is divisible by the number (78) 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 75232248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127680000).

75232248 is an abundant number, since it is smaller than the sum of its proper divisors (180127752).

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

75232248 is a wasteful number, since it uses less digits than its factorization.

75232248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 81 counting only the distinct ones).

The product of its digits is 26880, while the sum is 33.

The square root of 75232248 is about 8673.6525178266. The cubic root of 75232248 is about 422.1511853200.

The spelling of 75232248 in words is "seventy-five million, two hundred thirty-two thousand, two hundred forty-eight".