72906048 has 112 divisors (see below), whose sum is σ = 221406720. Its totient is φ = 23500800.

The previous prime is 72906023. The next prime is 72906061. The reversal of 72906048 is 84060927.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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 polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52888 + ... + 54248.

Almost surely, 2^72906048 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 72906048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110703360).

72906048 is an abundant number, since it is smaller than the sum of its proper divisors (148500672).

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

72906048 is a wasteful number, since it uses less digits than its factorization.

72906048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1413 (or 1397 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 72906048 is about 8538.5038502070. The cubic root of 72906048 is about 417.7545471046.

The spelling of 72906048 in words is "seventy-two million, nine hundred six thousand, forty-eight".