76547232 has 72 divisors (see below), whose sum is σ = 220985856. Its totient is φ = 25128576.

The previous prime is 76547189. The next prime is 76547239. The reversal of 76547232 is 23274567.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (76547239) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17313 + ... + 21279.

It is an arithmetic number, because the mean of its divisors is an integer number (3069248).

Almost surely, 2^76547232 is an apocalyptic number.

76547232 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 76547232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110492928).

76547232 is an abundant number, since it is smaller than the sum of its proper divisors (144438624).

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

76547232 is a wasteful number, since it uses less digits than its factorization.

76547232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4050 (or 4039 counting only the distinct ones).

The product of its digits is 70560, while the sum is 36.

The square root of 76547232 is about 8749.1274993567. The cubic root of 76547232 is about 424.5965851306.

The spelling of 76547232 in words is "seventy-six million, five hundred forty-seven thousand, two hundred thirty-two".