72465696 has 216 divisors, whose sum is σ = 235901484. Its totient is φ = 21012480.

The previous prime is 72465689. The next prime is 72465733. The reversal of 72465696 is 69656427.

It can be written as a sum of positive squares in 2 ways, for example, as 71166096 + 1299600 = 8436^2 + 1140^2 .

Its product of digits (544320) is a multiple of the sum of its prime factors (112).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1767436 + ... + 1767476.

Almost surely, 2^72465696 is an apocalyptic number.

72465696 is a gapful number since it is divisible by the number (76) 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 72465696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117950742).

72465696 is an abundant number, since it is smaller than the sum of its proper divisors (163435788).

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

72465696 is a wasteful number, since it uses less digits than its factorization.

72465696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 82 counting only the distinct ones).

The product of its digits is 544320, while the sum is 45.

The square root of 72465696 is about 8512.6785443831. The cubic root of 72465696 is about 416.9117698881.

The spelling of 72465696 in words is "seventy-two million, four hundred sixty-five thousand, six hundred ninety-six".