725124672 has 84 divisors (see below), whose sum is σ = 2083694080. Its totient is φ = 241097472.

The previous prime is 725124667. The next prime is 725124677. The reversal of 725124672 is 276421527.

It is a happy number.

725124672 is a `hidden beast` number, since 72 + 512 + 4 + 6 + 72 = 666.

It is an interprime number because it is at equal distance from previous prime (725124667) and next prime (725124677).

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

It is not an unprimeable number, because it can be changed into a prime (725124677) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 265329 + ... + 268047.

Almost surely, 2^725124672 is an apocalyptic number.

725124672 is a gapful number since it is divisible by the number (72) 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 725124672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1041847040).

725124672 is an abundant number, since it is smaller than the sum of its proper divisors (1358569408).

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

725124672 is a wasteful number, since it uses less digits than its factorization.

725124672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3200 (or 3187 counting only the distinct ones).

The product of its digits is 47040, while the sum is 36.

The square root of 725124672 is about 26928.1390370742. The cubic root of 725124672 is about 898.4023805062.

The spelling of 725124672 in words is "seven hundred twenty-five million, one hundred twenty-four thousand, six hundred seventy-two".