76724672 has 56 divisors (see below), whose sum is σ = 163092384. Its totient is φ = 35684352.

The previous prime is 76724657. The next prime is 76724677. The reversal of 76724672 is 27642767.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76724677) 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 7 ways as a sum of consecutive naturals, for example, 105173 + ... + 105899.

It is an arithmetic number, because the mean of its divisors is an integer number (2912364).

Almost surely, 2^76724672 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 76724672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81546192).

76724672 is an abundant number, since it is smaller than the sum of its proper divisors (86367712).

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

76724672 is a wasteful number, since it uses less digits than its factorization.

76724672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 853 (or 843 counting only the distinct ones).

The product of its digits is 197568, while the sum is 41.

The square root of 76724672 is about 8759.2620693755. The cubic root of 76724672 is about 424.9244100859.

The spelling of 76724672 in words is "seventy-six million, seven hundred twenty-four thousand, six hundred seventy-two".