725151744 has 208 divisors, whose sum is σ = 2201740800. Its totient is φ = 235782144.

The previous prime is 725151731. The next prime is 725151761. The reversal of 725151744 is 447151527.

725151744 is a `hidden beast` number, since 72 + 515 + 1 + 74 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 725151699 and 725151708.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 8736727 + ... + 8736809.

Almost surely, 2^725151744 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 725151744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1100870400).

725151744 is an abundant number, since it is smaller than the sum of its proper divisors (1476589056).

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

725151744 is an equidigital number, since it uses as much as digits as its factorization.

725151744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 167 counting only the distinct ones).

The product of its digits is 39200, while the sum is 36.

The square root of 725151744 is about 26928.6417035839. The cubic root of 725151744 is about 898.4135607659.

The spelling of 725151744 in words is "seven hundred twenty-five million, one hundred fifty-one thousand, seven hundred forty-four".