75276432 has 320 divisors, whose sum is σ = 281886720. Its totient is φ = 18662400.

The previous prime is 75276413. The next prime is 75276449. The reversal of 75276432 is 23467257.

It is a happy number.

75276432 is a `hidden beast` number, since 7 + 5 + 2 + 7 + 643 + 2 = 666.

75276432 is an esthetic number in base 5, because in such base its adjacent digits differ by 1.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1031148 + ... + 1031220.

It is an arithmetic number, because the mean of its divisors is an integer number (880896).

Almost surely, 2^75276432 is an apocalyptic number.

75276432 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 75276432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140943360).

75276432 is an abundant number, since it is smaller than the sum of its proper divisors (206610288).

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

75276432 is a wasteful number, since it uses less digits than its factorization.

75276432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 127 counting only the distinct ones).

The product of its digits is 70560, while the sum is 36.

The square root of 75276432 is about 8676.1991678384. The cubic root of 75276432 is about 422.2338124653.

The spelling of 75276432 in words is "seventy-five million, two hundred seventy-six thousand, four hundred thirty-two".