207361728 has 336 divisors, whose sum is σ = 741273600. Its totient is φ = 56609280.

The previous prime is 207361691. The next prime is 207361751. The reversal of 207361728 is 827163702.

It is a tau number, because it is divible by the number of its divisors (336).

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 = 207361692 and 207361701.

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, 2624793 + ... + 2624871.

Almost surely, 2^207361728 is an apocalyptic number.

207361728 is a gapful number since it is divisible by the number (28) 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 207361728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370636800).

207361728 is an abundant number, since it is smaller than the sum of its proper divisors (533911872).

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

207361728 is a wasteful number, since it uses less digits than its factorization.

207361728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 207361728 is about 14400.0599998750. The cubic root of 207361728 is about 591.8925419761.

It can be divided in two parts, 20736 and 1728, that multiplied together give a 7-th power (35831808 = 12⁷).

The spelling of 207361728 in words is "two hundred seven million, three hundred sixty-one thousand, seven hundred twenty-eight".