1529208072 has 240 divisors, whose sum is σ = 5277446460. Its totient is φ = 411070464.

The previous prime is 1529208071. The next prime is 1529208133. The reversal of 1529208072 is 2708029251.

It can be written as a sum of positive squares in 2 ways, for example, as 1515856356 + 13351716 = 38934^2 + 3654^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1529208071) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 538368 + ... + 541200.

Almost surely, 2^1529208072 is an apocalyptic number.

1529208072 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 1529208072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2638723230).

1529208072 is an abundant number, since it is smaller than the sum of its proper divisors (3748238388).

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

1529208072 is a wasteful number, since it uses less digits than its factorization.

1529208072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2882 (or 2862 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 1529208072 is about 39105.0901034635. The cubic root of 1529208072 is about 1152.0965088418.

The spelling of 1529208072 in words is "one billion, five hundred twenty-nine million, two hundred eight thousand, seventy-two".