731146080 has 192 divisors, whose sum is σ = 2746856448. Its totient is φ = 159836160.

The previous prime is 731146043. The next prime is 731146093. The reversal of 731146080 is 80641137.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 72550 + ... + 82010.

It is an arithmetic number, because the mean of its divisors is an integer number (14306544).

Almost surely, 2^731146080 is an apocalyptic number.

731146080 is a gapful number since it is divisible by the number (70) 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 731146080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1373428224).

731146080 is an abundant number, since it is smaller than the sum of its proper divisors (2015710368).

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

731146080 is a wasteful number, since it uses less digits than its factorization.

731146080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9509 (or 9501 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 731146080 is about 27039.7130162286. The cubic root of 731146080 is about 900.8822952724.

The spelling of 731146080 in words is "seven hundred thirty-one million, one hundred forty-six thousand, eighty".