729301248 has 162 divisors, whose sum is σ = 2278163706. Its totient is φ = 224280576.

The previous prime is 729301229. The next prime is 729301249. The reversal of 729301248 is 842103927.

It can be written as a sum of positive squares in 3 ways, for example, as 67371264 + 661929984 = 8208^2 + 25728^2 .

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

It is not an unprimeable number, because it can be changed into a prime (729301249) 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, 388440 + ... + 390312.

Almost surely, 2^729301248 is an apocalyptic number.

729301248 is a gapful number since it is divisible by the number (78) 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 729301248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1139081853).

729301248 is an abundant number, since it is smaller than the sum of its proper divisors (1548862458).

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

729301248 is a wasteful number, since it uses less digits than its factorization.

729301248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1921 (or 1891 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 729301248 is about 27005.5780904612. The cubic root of 729301248 is about 900.1239532980.

The spelling of 729301248 in words is "seven hundred twenty-nine million, three hundred one thousand, two hundred forty-eight".