72820971 has 8 divisors (see below), whose sum is σ = 107882960. Its totient is φ = 48547296.

The previous prime is 72820949. The next prime is 72820981. The reversal of 72820971 is 17902827.

It is not a de Polignac number, because 72820971 - 2¹⁰ = 72819947 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72820981) 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, 1348510 + ... + 1348563.

It is an arithmetic number, because the mean of its divisors is an integer number (13485370).

Almost surely, 2^72820971 is an apocalyptic number.

72820971 is a deficient number, since it is larger than the sum of its proper divisors (35061989).

72820971 is a wasteful number, since it uses less digits than its factorization.

72820971 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2697082 (or 2697076 counting only the distinct ones).

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

The square root of 72820971 is about 8533.5204341467. The cubic root of 72820971 is about 417.5919856600.

The spelling of 72820971 in words is "seventy-two million, eight hundred twenty thousand, nine hundred seventy-one".