72848412 has 144 divisors (see below), whose sum is σ = 233152192. Its totient is φ = 18662400.

The previous prime is 72848393. The next prime is 72848443. The reversal of 72848412 is 21484827.

It is a super-2 number, since 2×72848412² = 10613782261843488, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 120912 + ... + 121512.

Almost surely, 2^72848412 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72848412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116576096).

72848412 is an abundant number, since it is smaller than the sum of its proper divisors (160303780).

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

72848412 is a wasteful number, since it uses less digits than its factorization.

72848412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 668 (or 663 counting only the distinct ones).

The product of its digits is 28672, while the sum is 36.

The square root of 72848412 is about 8535.1281185463. The cubic root of 72848412 is about 417.6444325603.

The spelling of 72848412 in words is "seventy-two million, eight hundred forty-eight thousand, four hundred twelve".