76020672 has 224 divisors, whose sum is σ = 261721600. Its totient is φ = 18911232.

The previous prime is 76020647. The next prime is 76020713. The reversal of 76020672 is 27602067.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 331854 + ... + 332082.

It is an arithmetic number, because the mean of its divisors is an integer number (1168400).

Almost surely, 2^76020672 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 76020672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130860800).

76020672 is an abundant number, since it is smaller than the sum of its proper divisors (185700928).

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

76020672 is a wasteful number, since it uses less digits than its factorization.

76020672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 30.

The square root of 76020672 is about 8718.9834269828. The cubic root of 76020672 is about 423.6207597445.

The spelling of 76020672 in words is "seventy-six million, twenty thousand, six hundred seventy-two".