72874112 has 32 divisors (see below), whose sum is σ = 146191500. Its totient is φ = 36183040.

The previous prime is 72874079. The next prime is 72874117. The reversal of 72874112 is 21147827.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 72863296 + 10816 = 8536^2 + 104^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (72874117) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 17162 + ... + 20982.

Almost surely, 2^72874112 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 72874112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73095750).

72874112 is an abundant number, since it is smaller than the sum of its proper divisors (73317388).

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

72874112 is a wasteful number, since it uses less digits than its factorization.

72874112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3984 (or 3972 counting only the distinct ones).

The product of its digits is 6272, while the sum is 32.

The square root of 72874112 is about 8536.6335285053. The cubic root of 72874112 is about 417.6935400135.

The spelling of 72874112 in words is "seventy-two million, eight hundred seventy-four thousand, one hundred twelve".