72802071 has 24 divisors (see below), whose sum is σ = 109933824. Its totient is φ = 48143160.

The previous prime is 72802063. The next prime is 72802073. The reversal of 72802071 is 17020827.

It is not a de Polignac number, because 72802071 - 2³ = 72802063 is a prime.

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 Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72802073) 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, 30690 + ... + 32976.

It is an arithmetic number, because the mean of its divisors is an integer number (4580576).

Almost surely, 2^72802071 is an apocalyptic number.

72802071 is a deficient number, since it is larger than the sum of its proper divisors (37131753).

72802071 is a wasteful number, since it uses less digits than its factorization.

72802071 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2433 (or 2421 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 27.

The square root of 72802071 is about 8532.4129646894. The cubic root of 72802071 is about 417.5558551731. Note that the first 3 decimals are identical.

Adding to 72802071 its reverse (17020827), we get a palindrome (89822898).

The spelling of 72802071 in words is "seventy-two million, eight hundred two thousand, seventy-one".