72871000 has 32 divisors (see below), whose sum is σ = 170520480. Its totient is φ = 29148000.

The previous prime is 72870991. The next prime is 72871003. The reversal of 72871000 is 17827.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72871003) 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, 35436 + ... + 37435.

It is an arithmetic number, because the mean of its divisors is an integer number (5328765).

Almost surely, 2^72871000 is an apocalyptic number.

It is an amenable number.

72871000 is an abundant number, since it is smaller than the sum of its proper divisors (97649480).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

72871000 is a wasteful number, since it uses less digits than its factorization.

72871000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72892 (or 72878 counting only the distinct ones).

The product of its (nonzero) digits is 784, while the sum is 25.

The square root of 72871000 is about 8536.4512533019. The cubic root of 72871000 is about 417.6875942313.

Adding to 72871000 its reverse (17827), we get a palindrome (72888827).

The spelling of 72871000 in words is "seventy-two million, eight hundred seventy-one thousand".