72015471 has 24 divisors (see below), whose sum is σ = 113892480. Its totient is φ = 43486800.

The previous prime is 72015467. The next prime is 72015473. The reversal of 72015471 is 17451027.

It is not a de Polignac number, because 72015471 - 2² = 72015467 is a prime.

It is a super-3 number, since 3×72015471³ (a number of 25 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72015473) 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, 29620 + ... + 31958.

It is an arithmetic number, because the mean of its divisors is an integer number (4745520).

Almost surely, 2^72015471 is an apocalyptic number.

72015471 is a deficient number, since it is larger than the sum of its proper divisors (41877009).

72015471 is a wasteful number, since it uses less digits than its factorization.

72015471 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2667 (or 2664 counting only the distinct ones).

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

The square root of 72015471 is about 8486.1929626895. The cubic root of 72015471 is about 416.0465596772.

Adding to 72015471 its reverse (17451027), we get a palindrome (89466498).

The spelling of 72015471 in words is "seventy-two million, fifteen thousand, four hundred seventy-one".