726784128 has 96 divisors (see below), whose sum is σ = 2390194560. Its totient is φ = 207650304.

The previous prime is 726784127. The next prime is 726784129. The reversal of 726784128 is 821487627.

It is an interprime number because it is at equal distance from previous prime (726784127) and next prime (726784129).

It is a tau number, because it is divible by the number of its divisors (96).

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

It is not an unprimeable number, because it can be changed into a prime (726784127) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37000 + ... + 53127.

It is an arithmetic number, because the mean of its divisors is an integer number (24897860).

Almost surely, 2^726784128 is an apocalyptic number.

It is an amenable number.

726784128 is an abundant number, since it is smaller than the sum of its proper divisors (1663410432).

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

726784128 is a wasteful number, since it uses less digits than its factorization.

726784128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90154 (or 90139 counting only the distinct ones).

The product of its digits is 301056, while the sum is 45.

The square root of 726784128 is about 26958.9341035583. The cubic root of 726784128 is about 899.0871930353.

The spelling of 726784128 in words is "seven hundred twenty-six million, seven hundred eighty-four thousand, one hundred twenty-eight".