1352532672 has 84 divisors (see below), whose sum is σ = 3885093576. Its totient is φ = 449879040.

The previous prime is 1352532667. The next prime is 1352532679. The reversal of 1352532672 is 2762352531.

1352532672 is a `hidden beast` number, since 1 + 3 + 52 + 532 + 6 + 72 = 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 (1352532679) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 297843 + ... + 302349.

It is an arithmetic number, because the mean of its divisors is an integer number (46251114).

Almost surely, 2^1352532672 is an apocalyptic number.

1352532672 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 1352532672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1942546788).

1352532672 is an abundant number, since it is smaller than the sum of its proper divisors (2532560904).

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

1352532672 is a wasteful number, since it uses less digits than its factorization.

1352532672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5046 (or 5033 counting only the distinct ones).

The product of its digits is 75600, while the sum is 36.

The square root of 1352532672 is about 36776.7952926842. The cubic root of 1352532672 is about 1105.9001617917.

The spelling of 1352532672 in words is "one billion, three hundred fifty-two million, five hundred thirty-two thousand, six hundred seventy-two".