1472064 has 112 divisors (see below), whose sum is σ = 4608576. Its totient is φ = 409600.

The previous prime is 1472041. The next prime is 1472077. The reversal of 1472064 is 4602741.

1472064 = T₅₅ + T₅₆ + ... + T₂₀₇.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35884 + ... + 35924.

It is an arithmetic number, because the mean of its divisors is an integer number (41148).

2^1472064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1472064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2304288).

1472064 is an abundant number, since it is smaller than the sum of its proper divisors (3136512).

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

1472064 is a wasteful number, since it uses less digits than its factorization.

1472064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 74 counting only the distinct ones).

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

The square root of 1472064 is about 1213.2864459805. The cubic root of 1472064 is about 113.7563277887.

It can be divided in two parts, 147 and 2064, that added together give a triangular number (2211 = T₆₆).

The spelling of 1472064 in words is "one million, four hundred seventy-two thousand, sixty-four".