1337472 has 96 divisors (see below), whose sum is σ = 4084080. Its totient is φ = 435456.

The previous prime is 1337459. The next prime is 1337489. The reversal of 1337472 is 2747331.

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 (27).

Its product of digits (3528) is a multiple of the sum of its prime factors (72).

It is a nialpdrome in base 6.

It is a zygodrome in base 6.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31083 + ... + 31125.

2^1337472 is an apocalyptic number.

1337472 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 1337472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2042040).

1337472 is an abundant number, since it is smaller than the sum of its proper divisors (2746608).

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

1337472 is an frugal number, since it uses more digits than its factorization.

1337472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 48 counting only the distinct ones).

The product of its digits is 3528, while the sum is 27.

The square root of 1337472 is about 1156.4912451030. The cubic root of 1337472 is about 110.1780038070.

The spelling of 1337472 in words is "one million, three hundred thirty-seven thousand, four hundred seventy-two".