725874240 has 336 divisors, whose sum is σ = 2889577152. Its totient is φ = 153022464.

The previous prime is 725874203. The next prime is 725874283. The reversal of 725874240 is 42478527.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 610927 + ... + 612113.

It is an arithmetic number, because the mean of its divisors is an integer number (8599932).

Almost surely, 2^725874240 is an apocalyptic number.

725874240 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 725874240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1444788576).

725874240 is an abundant number, since it is smaller than the sum of its proper divisors (2163702912).

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

725874240 is a wasteful number, since it uses less digits than its factorization.

725874240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1234 (or 1217 counting only the distinct ones).

The product of its (nonzero) digits is 125440, while the sum is 39.

The square root of 725874240 is about 26942.0533738615. The cubic root of 725874240 is about 898.7118361519.

The spelling of 725874240 in words is "seven hundred twenty-five million, eight hundred seventy-four thousand, two hundred forty".