541728072 has 48 divisors (see below), whose sum is σ = 1471476240. Its totient is φ = 180047328.

The previous prime is 541728067. The next prime is 541728079. The reversal of 541728072 is 270827145.

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 (541728079) 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, 14143 + ... + 35825.

It is an arithmetic number, because the mean of its divisors is an integer number (30655755).

Almost surely, 2^541728072 is an apocalyptic number.

It is an amenable number.

541728072 is an abundant number, since it is smaller than the sum of its proper divisors (929748168).

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

541728072 is a wasteful number, since it uses less digits than its factorization.

541728072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22042 (or 22035 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

The square root of 541728072 is about 23275.0525670728. The cubic root of 541728072 is about 815.1930098534.

It can be divided in two parts, 5417 and 28072, that added together give a square (33489 = 183²).

The spelling of 541728072 in words is "five hundred forty-one million, seven hundred twenty-eight thousand, seventy-two".