72020016 has 100 divisors (see below), whose sum is σ = 212096544. Its totient is φ = 23587200.

The previous prime is 72020009. The next prime is 72020017. The reversal of 72020016 is 61002027.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (72020017) 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, 78601 + ... + 79511.

Almost surely, 2^72020016 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 72020016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106048272).

72020016 is an abundant number, since it is smaller than the sum of its proper divisors (140076528).

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

72020016 is a wasteful number, since it uses less digits than its factorization.

72020016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 992 (or 977 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 72020016 is about 8486.4607463889. The cubic root of 72020016 is about 416.0553119254.

It can be divided in two parts, 720 and 20016, that added together give a 4-th power (20736 = 12⁴).

The spelling of 72020016 in words is "seventy-two million, twenty thousand, sixteen".