541212672 has 360 divisors, whose sum is σ = 1952388928. Its totient is φ = 129761280.

The previous prime is 541212671. The next prime is 541212689. The reversal of 541212672 is 276212145.

It is a super-3 number, since 3×541212672³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (541212671) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41631738 + ... + 41631750.

Almost surely, 2^541212672 is an apocalyptic number.

541212672 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 541212672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (976194464).

541212672 is an abundant number, since it is smaller than the sum of its proper divisors (1411176256).

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

541212672 is a wasteful number, since it uses less digits than its factorization.

541212672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 36 counting only the distinct ones).

The product of its digits is 6720, while the sum is 30.

The square root of 541212672 is about 23263.9779917365. The cubic root of 541212672 is about 814.9344029907.

The spelling of 541212672 in words is "five hundred forty-one million, two hundred twelve thousand, six hundred seventy-two".