8019972 has 72 divisors (see below), whose sum is σ = 21688576. Its totient is φ = 2589408.

The previous prime is 8019961. The next prime is 8019983. The reversal of 8019972 is 2799108.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (8019961) and next prime (8019983).

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 an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35853 + ... + 36075.

Almost surely, 2^8019972 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 8019972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10844288).

8019972 is an abundant number, since it is smaller than the sum of its proper divisors (13668604).

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

8019972 is a wasteful number, since it uses less digits than its factorization.

8019972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The square root of 8019972 is about 2831.9555081251. The cubic root of 8019972 is about 200.1662950248.

The spelling of 8019972 in words is "eight million, nineteen thousand, nine hundred seventy-two".