735405725 has 24 divisors (see below), whose sum is σ = 941142888. Its totient is φ = 569676800.

The previous prime is 735405701. The next prime is 735405739. The reversal of 735405725 is 527504537.

It can be written as a sum of positive squares in 12 ways, for example, as 217297081 + 518108644 = 14741^2 + 22762^2 .

It is not a de Polignac number, because 735405725 - 2¹⁴ = 735389341 is a prime.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 137807 + ... + 143043.

It is an arithmetic number, because the mean of its divisors is an integer number (39214287).

Almost surely, 2^735405725 is an apocalyptic number.

It is an amenable number.

735405725 is a deficient number, since it is larger than the sum of its proper divisors (205737163).

735405725 is a wasteful number, since it uses less digits than its factorization.

735405725 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5425 (or 5420 counting only the distinct ones).

The product of its (nonzero) digits is 147000, while the sum is 38.

The square root of 735405725 is about 27118.3650871508. The cubic root of 735405725 is about 902.6284171540.

The spelling of 735405725 in words is "seven hundred thirty-five million, four hundred five thousand, seven hundred twenty-five".