73966248 has 72 divisors (see below), whose sum is σ = 207189450. Its totient is φ = 23837760.

The previous prime is 73966247. The next prime is 73966307. The reversal of 73966248 is 84266937.

It can be written as a sum of positive squares in only one way, i.e., 63968004 + 9998244 = 7998^2 + 3162^2 .

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

It is not an unprimeable number, because it can be changed into a prime (73966241) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 68658 + ... + 69726.

Almost surely, 2^73966248 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 73966248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103594725).

73966248 is an abundant number, since it is smaller than the sum of its proper divisors (133223202).

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

73966248 is a wasteful number, since it uses less digits than its factorization.

73966248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1143 (or 1105 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 73966248 is about 8600.3632481425. The cubic root of 73966248 is about 419.7698058307.

The spelling of 73966248 in words is "seventy-three million, nine hundred sixty-six thousand, two hundred forty-eight".