2758272 has 64 divisors (see below), whose sum is σ = 8004960. Its totient is φ = 834560.

The previous prime is 2758253. The next prime is 2758291. The reversal of 2758272 is 2728572.

It is an interprime number because it is at equal distance from previous prime (2758253) and next prime (2758291).

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-3 number, since 3×2758272³ = 62955333241163218944, which contains 333 as substring.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3898 + ... + 4550.

2^2758272 is an apocalyptic number.

2758272 is a gapful number since it is divisible by the number (22) 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 2758272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4002480).

2758272 is an abundant number, since it is smaller than the sum of its proper divisors (5246688).

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

2758272 is a wasteful number, since it uses less digits than its factorization.

2758272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 681 (or 669 counting only the distinct ones).

The product of its digits is 15680, while the sum is 33.

The square root of 2758272 is about 1660.8046242710. The cubic root of 2758272 is about 140.2423014893.

The spelling of 2758272 in words is "two million, seven hundred fifty-eight thousand, two hundred seventy-two".