72506448 has 80 divisors (see below), whose sum is σ = 237861760. Its totient is φ = 20715264.

The previous prime is 72506429. The next prime is 72506449. The reversal of 72506448 is 84460527.

72506448 is a `hidden beast` number, since 7 + 2 + 5 + 0 + 644 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 6.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72506449) 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, 8965 + ... + 15012.

It is an arithmetic number, because the mean of its divisors is an integer number (2973272).

Almost surely, 2^72506448 is an apocalyptic number.

It is an amenable number.

72506448 is an abundant number, since it is smaller than the sum of its proper divisors (165355312).

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

72506448 is a wasteful number, since it uses less digits than its factorization.

72506448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24001 (or 23989 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 72506448 is about 8515.0718141423. The cubic root of 72506448 is about 416.9899071104.

The spelling of 72506448 in words is "seventy-two million, five hundred six thousand, four hundred forty-eight".