75672432 has 180 divisors, whose sum is σ = 240552312. Its totient is φ = 22176000.

The previous prime is 75672427. The next prime is 75672451. The reversal of 75672432 is 23427657.

It is a happy number.

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

Its product of digits (70560) is a multiple of the sum of its prime divisors (160).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 749182 + ... + 749282.

Almost surely, 2^75672432 is an apocalyptic number.

75672432 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 75672432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120276156).

75672432 is an abundant number, since it is smaller than the sum of its proper divisors (164879880).

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

75672432 is a wasteful number, since it uses less digits than its factorization.

75672432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 160 counting only the distinct ones).

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

The square root of 75672432 is about 8698.9902862344. The cubic root of 75672432 is about 422.9729204870.

75672432 divided by its sum of digits (36) gives a palindrome (2102012).

It can be divided in two parts, 7567 and 2432, that added together give a palindrome (9999).

The spelling of 75672432 in words is "seventy-five million, six hundred seventy-two thousand, four hundred thirty-two".