725290741 has 16 divisors (see below), whose sum is σ = 841115520. Its totient is φ = 612587520.

The previous prime is 725290739. The next prime is 725290747. The reversal of 725290741 is 147092527.

725290741 is a nontrivial binomial coefficient, being equal to C(38087, 2).

It is a cyclic number.

It is not a de Polignac number, because 725290741 - 2¹ = 725290739 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is a self number, because there is not a number n which added to its sum of digits gives 725290741.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (725290747) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 130581 + ... + 136021.

It is an arithmetic number, because the mean of its divisors is an integer number (52569720).

Almost surely, 2^725290741 is an apocalyptic number.

725290741 is the 38086-th triangular number.

725290741 is the 12696-th centered nonagonal number.

It is an amenable number.

725290741 is a deficient number, since it is larger than the sum of its proper divisors (115824779).

725290741 is a wasteful number, since it uses less digits than its factorization.

725290741 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5724.

The product of its (nonzero) digits is 35280, while the sum is 37.

The square root of 725290741 is about 26931.2224193407. Note that the first 3 decimals coincide. The cubic root of 725290741 is about 898.4709597002.

It can be divided in two parts, 725 and 290741, that added together give a triangular number (291466 = T₇₆₃).

The spelling of 725290741 in words is "seven hundred twenty-five million, two hundred ninety thousand, seven hundred forty-one".