725849748 has 288 divisors, whose sum is σ = 2260177920. Its totient is φ = 201553920.

The previous prime is 725849743. The next prime is 725849753. The reversal of 725849748 is 847948527.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (725849743) and next prime (725849753).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 725849694 and 725849703.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (725849743) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6659118 + ... + 6659226.

It is an arithmetic number, because the mean of its divisors is an integer number (7847840).

Almost surely, 2^725849748 is an apocalyptic number.

725849748 is a gapful number since it is divisible by the number (78) 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 725849748, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1130088960).

725849748 is an abundant number, since it is smaller than the sum of its proper divisors (1534328172).

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

725849748 is a wasteful number, since it uses less digits than its factorization.

725849748 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 175 counting only the distinct ones).

The product of its digits is 4515840, while the sum is 54.

The square root of 725849748 is about 26941.5988389702. The cubic root of 725849748 is about 898.7017281117.

The spelling of 725849748 in words is "seven hundred twenty-five million, eight hundred forty-nine thousand, seven hundred forty-eight".