272016864 has 144 divisors (see below), whose sum is σ = 936175968. Its totient is φ = 73138176.

The previous prime is 272016827. The next prime is 272016869. The reversal of 272016864 is 468610272.

It is a tau number, because it is divible by the number of its divisors (144).

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 (272016869) 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, 30304 + ... + 38240.

It is an arithmetic number, because the mean of its divisors is an integer number (6501222).

Almost surely, 2^272016864 is an apocalyptic number.

272016864 is a gapful number since it is divisible by the number (24) 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 272016864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468087984).

272016864 is an abundant number, since it is smaller than the sum of its proper divisors (664159104).

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

272016864 is a wasteful number, since it uses less digits than its factorization.

272016864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7977 (or 7966 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 272016864 is about 16492.9337596439. The cubic root of 272016864 is about 647.9357503742.

The spelling of 272016864 in words is "two hundred seventy-two million, sixteen thousand, eight hundred sixty-four".