19008972 has 96 divisors (see below), whose sum is σ = 52093440. Its totient is φ = 5987520.

The previous prime is 19008947. The next prime is 19008989. The reversal of 19008972 is 27980091.

It is a happy number.

It is a super-2 number, since 2×19008972² = 722682032993568, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct 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 31 ways as a sum of consecutive naturals, for example, 267697 + ... + 267767.

It is an arithmetic number, because the mean of its divisors is an integer number (542640).

Almost surely, 2^19008972 is an apocalyptic number.

19008972 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19008972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26046720).

19008972 is an abundant number, since it is smaller than the sum of its proper divisors (33084468).

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

19008972 is a wasteful number, since it uses less digits than its factorization.

19008972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 180 counting only the distinct ones).

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

The square root of 19008972 is about 4359.9279810566. The cubic root of 19008972 is about 266.8821598410.

The spelling of 19008972 in words is "nineteen million, eight thousand, nine hundred seventy-two".