72406548 has 60 divisors (see below), whose sum is σ = 190405600. Its totient is φ = 23992848.

The previous prime is 72406541. The next prime is 72406567. The reversal of 72406548 is 84560427.

72406548 is a `hidden beast` number, since 72 + 40 + 6 + 548 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72406541) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 63915 + ... + 65037.

Almost surely, 2^72406548 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 72406548, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95202800).

72406548 is an abundant number, since it is smaller than the sum of its proper divisors (117999052).

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

72406548 is a wasteful number, since it uses less digits than its factorization.

72406548 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1338 (or 1327 counting only the distinct ones).

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

The square root of 72406548 is about 8509.2037230284. The cubic root of 72406548 is about 416.7983083425.

The spelling of 72406548 in words is "seventy-two million, four hundred six thousand, five hundred forty-eight".