725918760 has 384 divisors, whose sum is σ = 2868203520. Its totient is φ = 161678592.

The previous prime is 725918737. The next prime is 725918783. The reversal of 725918760 is 67819527.

It is an interprime number because it is at equal distance from previous prime (725918737) and next prime (725918783).

It is a super-2 number, since 2×725918760² = 1053916092239875200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3197767 + ... + 3197993.

It is an arithmetic number, because the mean of its divisors is an integer number (7469280).

Almost surely, 2^725918760 is an apocalyptic number.

725918760 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 725918760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1434101760).

725918760 is an abundant number, since it is smaller than the sum of its proper divisors (2142284760).

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

725918760 is a wasteful number, since it uses less digits than its factorization.

725918760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The square root of 725918760 is about 26942.8795788423. The cubic root of 725918760 is about 898.7302093221.

The spelling of 725918760 in words is "seven hundred twenty-five million, nine hundred eighteen thousand, seven hundred sixty".