72871260 has 96 divisors (see below), whose sum is σ = 254403072. Its totient is φ = 15141120.

The previous prime is 72871247. The next prime is 72871303. The reversal of 72871260 is 6217827.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3267 + ... + 12506.

It is an arithmetic number, because the mean of its divisors is an integer number (2650032).

Almost surely, 2^72871260 is an apocalyptic number.

72871260 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72871260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127201536).

72871260 is an abundant number, since it is smaller than the sum of its proper divisors (181531812).

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

72871260 is a wasteful number, since it uses less digits than its factorization.

72871260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15803 (or 15801 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 33.

The square root of 72871260 is about 8536.4664820990. The cubic root of 72871260 is about 417.6880909933.

The spelling of 72871260 in words is "seventy-two million, eight hundred seventy-one thousand, two hundred sixty".