725920434 has 64 divisors (see below), whose sum is σ = 1782362880. Its totient is φ = 217831680.

The previous prime is 725920409. The next prime is 725920463. The reversal of 725920434 is 434029527.

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, 3924 + ... + 38304.

It is an arithmetic number, because the mean of its divisors is an integer number (27849420).

Almost surely, 2^725920434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 725920434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (891181440).

725920434 is an abundant number, since it is smaller than the sum of its proper divisors (1056442446).

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

725920434 is a wasteful number, since it uses less digits than its factorization.

725920434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34432 (or 34426 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 725920434 is about 26942.9106445462. The cubic root of 725920434 is about 898.7309001585.

The spelling of 725920434 in words is "seven hundred twenty-five million, nine hundred twenty thousand, four hundred thirty-four".