72901728 has 48 divisors (see below), whose sum is σ = 212632560. Its totient is φ = 24300288.

The previous prime is 72901723. The next prime is 72901783. The reversal of 72901728 is 82710927.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 72901692 and 72901701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72901723) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41325 + ... + 43052.

It is an arithmetic number, because the mean of its divisors is an integer number (4429845).

Almost surely, 2^72901728 is an apocalyptic number.

It is an amenable number.

72901728 is an abundant number, since it is smaller than the sum of its proper divisors (139730832).

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

72901728 is a wasteful number, since it uses less digits than its factorization.

72901728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84396 (or 84382 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The square root of 72901728 is about 8538.2508747401. The cubic root of 72901728 is about 417.7462956845.

The spelling of 72901728 in words is "seventy-two million, nine hundred one thousand, seven hundred twenty-eight".