272401440 has 96 divisors (see below), whose sum is σ = 870258816. Its totient is φ = 71608320.

The previous prime is 272401439. The next prime is 272401463. The reversal of 272401440 is 44104272.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 272401440.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30084 + ... + 38076.

It is an arithmetic number, because the mean of its divisors is an integer number (9065196).

Almost surely, 2^272401440 is an apocalyptic number.

272401440 is a gapful number since it is divisible by the number (20) 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 272401440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435129408).

272401440 is an abundant number, since it is smaller than the sum of its proper divisors (597857376).

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

272401440 is a wasteful number, since it uses less digits than its factorization.

272401440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8082 (or 8074 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 24.

The square root of 272401440 is about 16504.5884529121. The cubic root of 272401440 is about 648.2409559628.

It can be divided in two parts, 27240 and 1440, that added together give a triangular number (28680 = T₂₃₉).

The spelling of 272401440 in words is "two hundred seventy-two million, four hundred one thousand, four hundred forty".