72971829 has 18 divisors (see below), whose sum is σ = 122613270. Its totient is φ = 41697936.

The previous prime is 72971813. The next prime is 72971851. The reversal of 72971829 is 92817927.

It can be written as a sum of positive squares in only one way, i.e., 72335025 + 636804 = 8505^2 + 798^2 .

It is not a de Polignac number, because 72971829 - 2⁴ = 72971813 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72971869) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 82294 + ... + 83175.

Almost surely, 2^72971829 is an apocalyptic number.

It is an amenable number.

72971829 is a deficient number, since it is larger than the sum of its proper divisors (49641441).

72971829 is a wasteful number, since it uses less digits than its factorization.

72971829 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165489 (or 165479 counting only the distinct ones).

The product of its digits is 127008, while the sum is 45.

The square root of 72971829 is about 8542.3550031593. The cubic root of 72971829 is about 417.8801519154.

The spelling of 72971829 in words is "seventy-two million, nine hundred seventy-one thousand, eight hundred twenty-nine".