72301971 has 16 divisors (see below), whose sum is σ = 110908928. Its totient is φ = 41041800.

The previous prime is 72301967. The next prime is 72301991. The reversal of 72301971 is 17910327.

It is not a de Polignac number, because 72301971 - 2² = 72301967 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72301991) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 478746 + ... + 478896.

It is an arithmetic number, because the mean of its divisors is an integer number (6931808).

Almost surely, 2^72301971 is an apocalyptic number.

72301971 is a deficient number, since it is larger than the sum of its proper divisors (38606957).

72301971 is an frugal number, since it uses more digits than its factorization.

72301971 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 2646, while the sum is 30.

The square root of 72301971 is about 8503.0565680819. The cubic root of 72301971 is about 416.5975506335.

The spelling of 72301971 in words is "seventy-two million, three hundred one thousand, nine hundred seventy-one".