725145408 has 168 divisors, whose sum is σ = 2260826568. Its totient is φ = 220889088.

The previous prime is 725145401. The next prime is 725145409. The reversal of 725145408 is 804541527.

It can be written as a sum of positive squares in 4 ways, for example, as 11614464 + 713530944 = 3408^2 + 26712^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (725145401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 845716 + ... + 846572.

It is an arithmetic number, because the mean of its divisors is an integer number (13457301).

Almost surely, 2^725145408 is an apocalyptic number.

725145408 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 725145408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1130413284).

725145408 is an abundant number, since it is smaller than the sum of its proper divisors (1535681160).

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

725145408 is a wasteful number, since it uses less digits than its factorization.

725145408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1001 (or 988 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 36.

The square root of 725145408 is about 26928.5240590716. The cubic root of 725145408 is about 898.4109441343.

The spelling of 725145408 in words is "seven hundred twenty-five million, one hundred forty-five thousand, four hundred eight".