1649529072 has 60 divisors (see below), whose sum is σ = 4631359824. Its totient is φ = 548060160.

The previous prime is 1649529059. The next prime is 1649529107. The reversal of 1649529072 is 2709259461.

1649529072 is a `hidden beast` number, since 1 + 6 + 495 + 2 + 90 + 72 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26368 + ... + 63200.

Almost surely, 2^1649529072 is an apocalyptic number.

1649529072 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 1649529072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2315679912).

1649529072 is an abundant number, since it is smaller than the sum of its proper divisors (2981830752).

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

1649529072 is a wasteful number, since it uses less digits than its factorization.

1649529072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37158 (or 37149 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 1649529072 is about 40614.3948865424. The cubic root of 1649529072 is about 1181.5533196718.

The spelling of 1649529072 in words is "one billion, six hundred forty-nine million, five hundred twenty-nine thousand, seventy-two".