72571401 has 54 divisors (see below), whose sum is σ = 126244170. Its totient is φ = 40049856.

The previous prime is 72571327. The next prime is 72571439. The reversal of 72571401 is 10417527.

72571401 is a `hidden beast` number, since 7 + 257 + 1 + 401 = 666.

It can be written as a sum of positive squares in only one way, i.e., 52186176 + 20385225 = 7224^2 + 4515^2 .

It is not a de Polignac number, because 72571401 - 2¹¹ = 72569353 is a prime.

It is not an unprimeable number, because it can be changed into a prime (72571441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 815365 + ... + 815453.

It is an arithmetic number, because the mean of its divisors is an integer number (2337855).

Almost surely, 2^72571401 is an apocalyptic number.

It is an amenable number.

72571401 is a deficient number, since it is larger than the sum of its proper divisors (53672769).

72571401 is a wasteful number, since it uses less digits than its factorization.

72571401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 27.

The square root of 72571401 is about 8518.8849622471. The cubic root of 72571401 is about 417.1143864383.

Adding to 72571401 its product of nonzero digits (1960), we get a square (72573361 = 8519²).

Adding to 72571401 its reverse (10417527), we get a palindrome (82988928).

The spelling of 72571401 in words is "seventy-two million, five hundred seventy-one thousand, four hundred one".