72871974 has 80 divisors (see below), whose sum is σ = 188179200. Its totient is φ = 20646576.

The previous prime is 72871961. The next prime is 72871987. The reversal of 72871974 is 47917827.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (72871961) and next prime (72871987).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 202807 + ... + 203165.

It is an arithmetic number, because the mean of its divisors is an integer number (2352240).

Almost surely, 2^72871974 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72871974, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94089600).

72871974 is an abundant number, since it is smaller than the sum of its proper divisors (115307226).

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

72871974 is a wasteful number, since it uses less digits than its factorization.

72871974 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 559 (or 550 counting only the distinct ones).

The product of its digits is 197568, while the sum is 45.

The square root of 72871974 is about 8536.5083025790. The cubic root of 72871974 is about 417.6894551723.

It can be divided in two parts, 7287 and 1974, that added together give a cube (9261 = 21³).

The spelling of 72871974 in words is "seventy-two million, eight hundred seventy-one thousand, nine hundred seventy-four".