75827232 has 192 divisors, whose sum is σ = 245266560. Its totient is φ = 22643712.

The previous prime is 75827231. The next prime is 75827243. The reversal of 75827232 is 23272857.

It is a happy number.

75827232 is a `hidden beast` number, since 7 + 582 + 72 + 3 + 2 = 666.

It is a super-2 number, since 2×75827232² = 11499538225563648, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75827231) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 482898 + ... + 483054.

It is an arithmetic number, because the mean of its divisors is an integer number (1277430).

Almost surely, 2^75827232 is an apocalyptic number.

75827232 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 75827232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122633280).

75827232 is an abundant number, since it is smaller than the sum of its proper divisors (169439328).

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

75827232 is a wasteful number, since it uses less digits than its factorization.

75827232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 218 counting only the distinct ones).

The product of its digits is 47040, while the sum is 36.

The square root of 75827232 is about 8707.8833248959. The cubic root of 75827232 is about 423.2611435105.

The spelling of 75827232 in words is "seventy-five million, eight hundred twenty-seven thousand, two hundred thirty-two".