201072400 has 45 divisors (see below), whose sum is σ = 483758751. Its totient is φ = 80315520.

The previous prime is 201072359. The next prime is 201072401. The reversal of 201072400 is 4270102.

The square root of 201072400 is 14180.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 55532304 + 145540096 = 7452^2 + 12064^2 .

It is a super-2 number, since 2×201072400² = 80860220083520000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (201072401) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 283246 + ... + 283954.

Almost surely, 2^201072400 is an apocalyptic number.

201072400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

201072400 is the 14180-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201072400

201072400 is an abundant number, since it is smaller than the sum of its proper divisors (282686351).

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

201072400 is an frugal number, since it uses more digits than its factorization.

201072400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1436 (or 716 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 16.

The cubic root of 201072400 is about 585.8469238718.

Multiplying 201072400 by its sum of digits (16), we get a square (3217158400 = 56720²).

201072400 divided by its sum of digits (16) gives a square (12567025 = 3545²).

The spelling of 201072400 in words is "two hundred one million, seventy-two thousand, four hundred".