72645456 has 80 divisors (see below), whose sum is σ = 206486784. Its totient is φ = 21868032.

The previous prime is 72645451. The next prime is 72645473. The reversal of 72645456 is 65454627.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72645451) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28090 + ... + 30566.

Almost surely, 2^72645456 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 72645456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103243392).

72645456 is an abundant number, since it is smaller than the sum of its proper divisors (133841328).

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

72645456 is a wasteful number, since it uses less digits than its factorization.

72645456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2548 (or 2542 counting only the distinct ones).

The product of its digits is 201600, while the sum is 39.

The square root of 72645456 is about 8523.2303735145. The cubic root of 72645456 is about 417.2562187324.

It can be divided in two parts, 7264 and 5456, that added together give a triangular number (12720 = T₁₅₉).

The spelling of 72645456 in words is "seventy-two million, six hundred forty-five thousand, four hundred fifty-six".