1407672 has 128 divisors (see below), whose sum is σ = 4800000. Its totient is φ = 381024.

The previous prime is 1407671. The next prime is 1407709. The reversal of 1407672 is 2767041.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 1407672 = 14³ + 112³ = 63³ + 105³.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1407671) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 74079 + ... + 74097.

It is an arithmetic number, because the mean of its divisors is an integer number (37500).

2^1407672 is an apocalyptic number.

1407672 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 1407672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2400000).

1407672 is an abundant number, since it is smaller than the sum of its proper divisors (3392328).

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

1407672 is a wasteful number, since it uses less digits than its factorization.

1407672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55 (or 31 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 1407672 is about 1186.4535389133. The cubic root of 1407672 is about 112.0728692463.

The spelling of 1407672 in words is "one million, four hundred seven thousand, six hundred seventy-two".