1464072 has 32 divisors (see below), whose sum is σ = 3732480. Its totient is φ = 478400.

The previous prime is 1464049. The next prime is 1464079. The reversal of 1464072 is 2704641.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (1464079) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 697 + ... + 1847.

It is an arithmetic number, because the mean of its divisors is an integer number (116640).

2^1464072 is an apocalyptic number.

1464072 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 1464072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1866240).

1464072 is an abundant number, since it is smaller than the sum of its proper divisors (2268408).

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

1464072 is a wasteful number, since it uses less digits than its factorization.

1464072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1213 (or 1209 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 1464072 is about 1209.9884296967. The cubic root of 1464072 is about 113.5500888327.

The spelling of 1464072 in words is "one million, four hundred sixty-four thousand, seventy-two".