725354040 has 64 divisors (see below), whose sum is σ = 2178201600. Its totient is φ = 193237632.

The previous prime is 725354029. The next prime is 725354041. The reversal of 725354040 is 40453527.

It is a super-2 number, since 2×725354040² = 1052276966688643200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 725353989 and 725354007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (725354041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 154041 + ... + 158679.

It is an arithmetic number, because the mean of its divisors is an integer number (34034400).

Almost surely, 2^725354040 is an apocalyptic number.

It is an amenable number.

725354040 is an abundant number, since it is smaller than the sum of its proper divisors (1452847560).

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

725354040 is a wasteful number, since it uses less digits than its factorization.

725354040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5956 (or 5952 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 30.

The square root of 725354040 is about 26932.3975910055. The cubic root of 725354040 is about 898.4970966480.

The spelling of 725354040 in words is "seven hundred twenty-five million, three hundred fifty-four thousand, forty".