1270752 has 96 divisors (see below), whose sum is σ = 3999744. Its totient is φ = 345600.

The previous prime is 1270747. The next prime is 1270757. The reversal of 1270752 is 2570721.

It is an interprime number because it is at equal distance from previous prime (1270747) and next prime (1270757).

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

It is a super-2 number, since 2×1270752² = 3229621291008, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1270757) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20802 + ... + 20862.

It is an arithmetic number, because the mean of its divisors is an integer number (41664).

2^1270752 is an apocalyptic number.

1270752 is a gapful number since it is divisible by the number (12) 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 1270752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1999872).

1270752 is an abundant number, since it is smaller than the sum of its proper divisors (2728992).

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

1270752 is a wasteful number, since it uses less digits than its factorization.

1270752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 980, while the sum is 24.

The square root of 1270752 is about 1127.2763636305. The cubic root of 1270752 is about 108.3145834743.

The spelling of 1270752 in words is "one million, two hundred seventy thousand, seven hundred fifty-two".