76209672 has 192 divisors, whose sum is σ = 251274240. Its totient is φ = 18817920.

The previous prime is 76209667. The next prime is 76209673. The reversal of 76209672 is 27690267.

76209672 = 259² + 260² + ... + 626².

It is a self number, because there is not a number n which added to its sum of digits gives 76209672.

It is not an unprimeable number, because it can be changed into a prime (76209673) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 467463 + ... + 467625.

It is an arithmetic number, because the mean of its divisors is an integer number (1308720).

Almost surely, 2^76209672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76209672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125637120).

76209672 is an abundant number, since it is smaller than the sum of its proper divisors (175064568).

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

76209672 is a wasteful number, since it uses less digits than its factorization.

76209672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 39.

The square root of 76209672 is about 8729.8151183172. The cubic root of 76209672 is about 423.9715330360.

The spelling of 76209672 in words is "seventy-six million, two hundred nine thousand, six hundred seventy-two".