76014432 has 144 divisors (see below), whose sum is σ = 236658240. Its totient is φ = 23003136.

The previous prime is 76014431. The next prime is 76014437. The reversal of 76014432 is 23441067.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 76014396 and 76014405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76014431) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 295648 + ... + 295904.

It is an arithmetic number, because the mean of its divisors is an integer number (1643460).

Almost surely, 2^76014432 is an apocalyptic number.

76014432 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 76014432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118329120).

76014432 is an abundant number, since it is smaller than the sum of its proper divisors (160643808).

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

76014432 is a wasteful number, since it uses less digits than its factorization.

76014432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 76014432 is about 8718.6255797574. The cubic root of 76014432 is about 423.6091687487.

Adding to 76014432 its reverse (23441067), we get a palindrome (99455499).

The spelling of 76014432 in words is "seventy-six million, fourteen thousand, four hundred thirty-two".