1472564016 has 160 divisors (see below), whose sum is σ = 5269900800. Its totient is φ = 382475520.

The previous prime is 1472563993. The next prime is 1472564017. The reversal of 1472564016 is 6104652741.

1472564016 is a `hidden beast` number, since 1 + 4 + 7 + 2 + 5 + 640 + 1 + 6 = 666.

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 (1472564017) 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, 11130 + ... + 55398.

It is an arithmetic number, because the mean of its divisors is an integer number (32936880).

Almost surely, 2^1472564016 is an apocalyptic number.

1472564016 is a gapful number since it is divisible by the number (16) 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 1472564016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2634950400).

1472564016 is an abundant number, since it is smaller than the sum of its proper divisors (3797336784).

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

1472564016 is a wasteful number, since it uses less digits than its factorization.

1472564016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44304 (or 44292 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 1472564016 is about 38374.0018241517. The cubic root of 1472564016 is about 1137.6920620185.

The spelling of 1472564016 in words is "one billion, four hundred seventy-two million, five hundred sixty-four thousand, sixteen".