72601848 has 144 divisors (see below), whose sum is σ = 224195400. Its totient is φ = 21047040.

The previous prime is 72601829. The next prime is 72601853. The reversal of 72601848 is 84810627.

72601848 is a `hidden beast` number, since 7 + 2 + 601 + 8 + 48 = 666.

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

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 666018 + ... + 666126.

Almost surely, 2^72601848 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 72601848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112097700).

72601848 is an abundant number, since it is smaller than the sum of its proper divisors (151593552).

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

72601848 is a wasteful number, since it uses less digits than its factorization.

72601848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 72601848 is about 8520.6718044999. The cubic root of 72601848 is about 417.1727110947.

The spelling of 72601848 in words is "seventy-two million, six hundred one thousand, eight hundred forty-eight".