73247664 has 80 divisors (see below), whose sum is σ = 217311488. Its totient is φ = 20825856.

The previous prime is 73247651. The next prime is 73247677. The reversal of 73247664 is 46674237.

It is an interprime number because it is at equal distance from previous prime (73247651) and next prime (73247677).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 92679 + ... + 93465.

Almost surely, 2^73247664 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 73247664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108655744).

73247664 is an abundant number, since it is smaller than the sum of its proper divisors (144063824).

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

73247664 is a wasteful number, since it uses less digits than its factorization.

73247664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1082 (or 1076 counting only the distinct ones).

The product of its digits is 169344, while the sum is 39.

The square root of 73247664 is about 8558.4849126466. The cubic root of 73247664 is about 418.4060217002.

The spelling of 73247664 in words is "seventy-three million, two hundred forty-seven thousand, six hundred sixty-four".