1472688 has 80 divisors (see below), whose sum is σ = 4840960. Its totient is φ = 419904.

The previous prime is 1472687. The next prime is 1472689. The reversal of 1472688 is 8862741.

It is an interprime number because it is at equal distance from previous prime (1472687) and next prime (1472689).

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 not an unprimeable number, because it can be changed into a prime (1472687) 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, 2781 + ... + 3267.

It is an arithmetic number, because the mean of its divisors is an integer number (60512).

2^1472688 is an apocalyptic number.

1472688 is a gapful number since it is divisible by the number (18) 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 1472688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2420480).

1472688 is an abundant number, since it is smaller than the sum of its proper divisors (3368272).

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

1472688 is a wasteful number, since it uses less digits than its factorization.

1472688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 511 (or 499 counting only the distinct ones).

The product of its digits is 21504, while the sum is 36.

The square root of 1472688 is about 1213.5435715293. The cubic root of 1472688 is about 113.7723990829.

The spelling of 1472688 in words is "one million, four hundred seventy-two thousand, six hundred eighty-eight".