72464112 has 160 divisors (see below), whose sum is σ = 245698560. Its totient is φ = 20010240.

The previous prime is 72464111. The next prime is 72464137. The reversal of 72464112 is 21146427.

72464112 is a `hidden beast` number, since 7 + 2 + 4 + 641 + 12 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72464111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 93358 + ... + 94130.

It is an arithmetic number, because the mean of its divisors is an integer number (1535616).

Almost surely, 2^72464112 is an apocalyptic number.

72464112 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72464112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122849280).

72464112 is an abundant number, since it is smaller than the sum of its proper divisors (173234448).

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

72464112 is a wasteful number, since it uses less digits than its factorization.

72464112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 828 (or 816 counting only the distinct ones).

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

The square root of 72464112 is about 8512.5855061785. The cubic root of 72464112 is about 416.9087321609.

The spelling of 72464112 in words is "seventy-two million, four hundred sixty-four thousand, one hundred twelve".