72638016 has 112 divisors (see below), whose sum is σ = 211945728. Its totient is φ = 21772800.

The previous prime is 72638009. The next prime is 72638017. The reversal of 72638016 is 61083627.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72638017) 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, 344151 + ... + 344361.

Almost surely, 2^72638016 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 72638016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105972864).

72638016 is an abundant number, since it is smaller than the sum of its proper divisors (139307712).

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

72638016 is a wasteful number, since it uses less digits than its factorization.

72638016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 72638016 is about 8522.7939081031. The cubic root of 72638016 is about 417.2419737843.

The spelling of 72638016 in words is "seventy-two million, six hundred thirty-eight thousand, sixteen".