76486272 has 64 divisors (see below), whose sum is σ = 204081600. Its totient is φ = 25380864.

The previous prime is 76486271. The next prime is 76486273. The reversal of 76486272 is 27268467.

It is an interprime number because it is at equal distance from previous prime (76486271) and next prime (76486273).

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

It is not an unprimeable number, because it can be changed into a prime (76486271) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 156813 + ... + 157299.

It is an arithmetic number, because the mean of its divisors is an integer number (3188775).

Almost surely, 2^76486272 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 76486272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102040800).

76486272 is an abundant number, since it is smaller than the sum of its proper divisors (127595328).

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

76486272 is a wasteful number, since it uses less digits than its factorization.

76486272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 913 (or 901 counting only the distinct ones).

The product of its digits is 225792, while the sum is 42.

The square root of 76486272 is about 8745.6430295319. The cubic root of 76486272 is about 424.4838430534.

The spelling of 76486272 in words is "seventy-six million, four hundred eighty-six thousand, two hundred seventy-two".