72874386 has 96 divisors (see below), whose sum is σ = 184242240. Its totient is φ = 20621952.

The previous prime is 72874369. The next prime is 72874387. The reversal of 72874386 is 68347827.

It is a happy number.

It is a super-2 number, since 2×72874386² = 10621352269753992, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (72874387) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 164281 + ... + 164723.

It is an arithmetic number, because the mean of its divisors is an integer number (1919190).

Almost surely, 2^72874386 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72874386, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92121120).

72874386 is an abundant number, since it is smaller than the sum of its proper divisors (111367854).

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

72874386 is a wasteful number, since it uses less digits than its factorization.

72874386 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 520 (or 517 counting only the distinct ones).

The product of its digits is 451584, while the sum is 45.

The square root of 72874386 is about 8536.6495769710. The cubic root of 72874386 is about 417.6940635094.

The spelling of 72874386 in words is "seventy-two million, eight hundred seventy-four thousand, three hundred eighty-six".