72671238 has 48 divisors (see below), whose sum is σ = 167431680. Its totient is φ = 22714992.

The previous prime is 72671197. The next prime is 72671251. The reversal of 72671238 is 83217627.

It is a super-2 number, since 2×72671238² = 10562217664905288, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34195 + ... + 36257.

It is an arithmetic number, because the mean of its divisors is an integer number (3488160).

Almost surely, 2^72671238 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72671238, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83715840).

72671238 is an abundant number, since it is smaller than the sum of its proper divisors (94760442).

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

72671238 is a wasteful number, since it uses less digits than its factorization.

72671238 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2193 (or 2190 counting only the distinct ones).

The product of its digits is 28224, while the sum is 36.

The square root of 72671238 is about 8524.7426940641. The cubic root of 72671238 is about 417.3055745492.

The spelling of 72671238 in words is "seventy-two million, six hundred seventy-one thousand, two hundred thirty-eight".