728541609802272 has 144 divisors (see below), whose sum is σ = 2367791801286912. Its totient is φ = 208151970324480.

The previous prime is 728541609802267. The next prime is 728541609802277. The reversal of 728541609802272 is 272208906145827.

728541609802272 is a `hidden beast` number, since 7 + 2 + 8 + 541 + 6 + 0 + 9 + 80 + 2 + 2 + 7 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (728541609802267) and next prime (728541609802277).

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×728541609802272² (a number of 31 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (728541609802277) 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, 151262272 + ... + 156004352.

It is an arithmetic number, because the mean of its divisors is an integer number (16442998620048).

Almost surely, 2^{728541609802272} is an apocalyptic number.

728541609802272 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

728541609802272 is an abundant number, since it is smaller than the sum of its proper divisors (1639250191484640).

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

728541609802272 is a wasteful number, since it uses less digits than its factorization.

728541609802272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4818311 (or 4818300 counting only the distinct ones).

The product of its (nonzero) digits is 54190080, while the sum is 63.

The spelling of 728541609802272 in words is "seven hundred twenty-eight trillion, five hundred forty-one billion, six hundred nine million, eight hundred two thousand, two hundred seventy-two".