76720032 has 72 divisors (see below), whose sum is σ = 219020256. Its totient is φ = 25474176.

The previous prime is 76719989. The next prime is 76720037. The reversal of 76720032 is 23002767.

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 76719978 and 76720005.

It is not an unprimeable number, because it can be changed into a prime (76720037) 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 11 ways as a sum of consecutive naturals, for example, 139983 + ... + 140529.

It is an arithmetic number, because the mean of its divisors is an integer number (3041948).

Almost surely, 2^76720032 is an apocalyptic number.

76720032 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76720032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109510128).

76720032 is an abundant number, since it is smaller than the sum of its proper divisors (142300224).

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

76720032 is a wasteful number, since it uses less digits than its factorization.

76720032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1050 (or 1039 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 27.

The square root of 76720032 is about 8758.9972028766. The cubic root of 76720032 is about 424.9158440060.

Adding to 76720032 its reverse (23002767), we get a palindrome (99722799).

The spelling of 76720032 in words is "seventy-six million, seven hundred twenty thousand, thirty-two".