272464101 has 64 divisors (see below), whose sum is σ = 500451840. Its totient is φ = 142663680.

The previous prime is 272464081. The next prime is 272464121. The reversal of 272464101 is 101464272.

272464101 is a `hidden beast` number, since 2 + 7 + 246 + 410 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (272464081) and next prime (272464121).

It is not a de Polignac number, because 272464101 - 2⁵ = 272464069 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (272464121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 424741 + ... + 425381.

It is an arithmetic number, because the mean of its divisors is an integer number (7819560).

Almost surely, 2^272464101 is an apocalyptic number.

272464101 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

272464101 is a deficient number, since it is larger than the sum of its proper divisors (227987739).

272464101 is a wasteful number, since it uses less digits than its factorization.

272464101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 843 (or 837 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 272464101 is about 16506.4866340478. The cubic root of 272464101 is about 648.2906575018.

The spelling of 272464101 in words is "two hundred seventy-two million, four hundred sixty-four thousand, one hundred one".