72371312 has 80 divisors (see below), whose sum is σ = 162302112. Its totient is φ = 30965760.

The previous prime is 72371309. The next prime is 72371357. The reversal of 72371312 is 21317327.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 342887 + ... + 343097.

Almost surely, 2^72371312 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 72371312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81151056).

72371312 is an abundant number, since it is smaller than the sum of its proper divisors (89930800).

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

72371312 is a wasteful number, since it uses less digits than its factorization.

72371312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346 (or 340 counting only the distinct ones).

The product of its digits is 1764, while the sum is 26.

The square root of 72371312 is about 8507.1330070712. The cubic root of 72371312 is about 416.7306869806.

Adding to 72371312 its reverse (21317327), we get a palindrome (93688639).

The spelling of 72371312 in words is "seventy-two million, three hundred seventy-one thousand, three hundred twelve".