76461472 has 48 divisors (see below), whose sum is σ = 160907040. Its totient is φ = 35659008.

The previous prime is 76461467. The next prime is 76461521. The reversal of 76461472 is 27416467.

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, 39798 + ... + 41674.

It is an arithmetic number, because the mean of its divisors is an integer number (3352230).

Almost surely, 2^76461472 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 76461472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80453520).

76461472 is an abundant number, since it is smaller than the sum of its proper divisors (84445568).

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

76461472 is a wasteful number, since it uses less digits than its factorization.

76461472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1973 (or 1965 counting only the distinct ones).

The product of its digits is 56448, while the sum is 37.

The square root of 76461472 is about 8744.2250657219. The cubic root of 76461472 is about 424.4379597116.

The spelling of 76461472 in words is "seventy-six million, four hundred sixty-one thousand, four hundred seventy-two".