535206672 has 480 divisors, whose sum is σ = 2079866880. Its totient is φ = 124001280.

The previous prime is 535206671. The next prime is 535206691. The reversal of 535206672 is 276602535.

It is a happy number.

535206672 is a `hidden beast` number, since 5 + 3 + 520 + 66 + 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 (535206671) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6774729 + ... + 6774807.

It is an arithmetic number, because the mean of its divisors is an integer number (4333056).

Almost surely, 2^535206672 is an apocalyptic number.

535206672 is a gapful number since it is divisible by the number (52) 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 535206672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1039933440).

535206672 is an abundant number, since it is smaller than the sum of its proper divisors (1544660208).

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

535206672 is a wasteful number, since it uses less digits than its factorization.

535206672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 162 counting only the distinct ones).

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

The square root of 535206672 is about 23134.5341859308. The cubic root of 535206672 is about 811.9086585437.

The spelling of 535206672 in words is "five hundred thirty-five million, two hundred six thousand, six hundred seventy-two".