72112464 has 80 divisors (see below), whose sum is σ = 209708800. Its totient is φ = 23721984.

The previous prime is 72112459. The next prime is 72112471. The reversal of 72112464 is 46421127.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 33072 + ... + 35184.

It is an arithmetic number, because the mean of its divisors is an integer number (2621360).

Almost surely, 2^72112464 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 72112464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104854400).

72112464 is an abundant number, since it is smaller than the sum of its proper divisors (137596336).

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

72112464 is a wasteful number, since it uses less digits than its factorization.

72112464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2209 (or 2197 counting only the distinct ones).

The product of its digits is 2688, while the sum is 27.

The square root of 72112464 is about 8491.9057931656. The cubic root of 72112464 is about 416.2332579907.

The spelling of 72112464 in words is "seventy-two million, one hundred twelve thousand, four hundred sixty-four".