1372896 has 96 divisors (see below), whose sum is σ = 4596480. Its totient is φ = 390528.

The previous prime is 1372879. The next prime is 1372913. The reversal of 1372896 is 6982731.

It is an interprime number because it is at equal distance from previous prime (1372879) and next prime (1372913).

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 (36).

It is a nude number because it is divisible by every one of its digits.

It is one of the 548 Lynch-Bell numbers.

It is a self number, because there is not a number n which added to its sum of digits gives 1372896.

It is a congruent number.

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, 5935 + ... + 6161.

It is an arithmetic number, because the mean of its divisors is an integer number (47880).

2^1372896 is an apocalyptic number.

1372896 is a gapful number since it is divisible by the number (16) 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 1372896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2298240).

1372896 is an abundant number, since it is smaller than the sum of its proper divisors (3223584).

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

1372896 is a wasteful number, since it uses less digits than its factorization.

1372896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 239 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 1372896 is about 1171.7064478785. The cubic root of 1372896 is about 111.1422573425.

It can be divided in two parts, 13728 and 96, that added together give a cube (13824 = 24³).

The spelling of 1372896 in words is "one million, three hundred seventy-two thousand, eight hundred ninety-six".