1467972 has 54 divisors (see below), whose sum is σ = 4090814. Its totient is φ = 443520.

The previous prime is 1467971. The next prime is 1467989. The reversal of 1467972 is 2797641.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 1115136 + 352836 = 1056^2 + 594^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1467971) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 4188 + ... + 4524.

2^1467972 is an apocalyptic number.

1467972 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 1467972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2045407).

1467972 is an abundant number, since it is smaller than the sum of its proper divisors (2622842).

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

1467972 is a wasteful number, since it uses less digits than its factorization.

1467972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369 (or 353 counting only the distinct ones).

The product of its digits is 21168, while the sum is 36.

The square root of 1467972 is about 1211.5989435453. The cubic root of 1467972 is about 113.6508244773.

It can be divided in two parts, 146 and 7972, that added together give a palindrome (8118).

The spelling of 1467972 in words is "one million, four hundred sixty-seven thousand, nine hundred seventy-two".