76204672 has 64 divisors (see below), whose sum is σ = 158630400. Its totient is φ = 36434944.

The previous prime is 76204669. The next prime is 76204697. The reversal of 76204672 is 27640267.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 318729 + ... + 318967.

It is an arithmetic number, because the mean of its divisors is an integer number (2478600).

Almost surely, 2^76204672 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 76204672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79315200).

76204672 is an abundant number, since it is smaller than the sum of its proper divisors (82425728).

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

76204672 is a wasteful number, since it uses less digits than its factorization.

76204672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 34.

The square root of 76204672 is about 8729.5287387121. The cubic root of 76204672 is about 423.9622607920.

The spelling of 76204672 in words is "seventy-six million, two hundred four thousand, six hundred seventy-two".