535576272 has 240 divisors, whose sum is σ = 1780457472. Its totient is φ = 137168640.

The previous prime is 535576271. The next prime is 535576291. The reversal of 535576272 is 272675535.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (535576271) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3285663 + ... + 3285825.

Almost surely, 2^535576272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 535576272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (890228736).

535576272 is an abundant number, since it is smaller than the sum of its proper divisors (1244881200).

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

535576272 is a wasteful number, since it uses less digits than its factorization.

535576272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326 (or 313 counting only the distinct ones).

The product of its digits is 441000, while the sum is 42.

The square root of 535576272 is about 23142.5208652817. The cubic root of 535576272 is about 812.0955099703.

The spelling of 535576272 in words is "five hundred thirty-five million, five hundred seventy-six thousand, two hundred seventy-two".