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725168640 = 2935724147
BaseRepresentation
bin101011001110010…
…011001000000000
31212112112101100210
4223032103020000
52441120344030
6155542514120
723653555200
oct5316231000
91775471323
10725168640
1134237aa29
12182a35940
13b7312291
146c44a400
15439e4bb0
hex2b393200

725168640 has 480 divisors, whose sum is σ = 2821319424. Its totient is φ = 158269440.

The previous prime is 725168627. The next prime is 725168663. The reversal of 725168640 is 46861527.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-3 number, since 3×7251686403 (a number of 28 digits) contains 333 as substring.

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 47 ways as a sum of consecutive naturals, for example, 15429097 + ... + 15429143.

Almost surely, 2725168640 is an apocalyptic number.

725168640 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 725168640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1410659712).

725168640 is an abundant number, since it is smaller than the sum of its proper divisors (2096150784).

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

725168640 is a wasteful number, since it uses less digits than its factorization.

725168640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The square root of 725168640 is about 26928.9554197707. The cubic root of 725168640 is about 898.4205383757.

The spelling of 725168640 in words is "seven hundred twenty-five million, one hundred sixty-eight thousand, six hundred forty".