73149248 has 56 divisors (see below), whose sum is σ = 151464264. Its totient is φ = 35020800.

The previous prime is 73149247. The next prime is 73149277. The reversal of 73149248 is 84294137.

It can be written as a sum of positive squares in 4 ways, for example, as 12544 + 73136704 = 112^2 + 8552^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73149247) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 159836 + ... + 160292.

It is an arithmetic number, because the mean of its divisors is an integer number (2704719).

Almost surely, 2^73149248 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 73149248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75732132).

73149248 is an abundant number, since it is smaller than the sum of its proper divisors (78315016).

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

73149248 is a wasteful number, since it uses less digits than its factorization.

73149248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 571 (or 561 counting only the distinct ones).

The product of its digits is 48384, while the sum is 38.

The square root of 73149248 is about 8552.7333642526. The cubic root of 73149248 is about 418.2185467655.

The spelling of 73149248 in words is "seventy-three million, one hundred forty-nine thousand, two hundred forty-eight".