19296072 has 48 divisors (see below), whose sum is σ = 52500240. Its totient is φ = 6402528.

The previous prime is 19296061. The next prime is 19296073. The reversal of 19296072 is 27069291.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (19296073) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19903 + ... + 20849.

It is an arithmetic number, because the mean of its divisors is an integer number (1093755).

Almost surely, 2^19296072 is an apocalyptic number.

19296072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

19296072 is an abundant number, since it is smaller than the sum of its proper divisors (33204168).

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

19296072 is a wasteful number, since it uses less digits than its factorization.

19296072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1242 (or 1235 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 19296072 is about 4392.7294476214. The cubic root of 19296072 is about 268.2190605161.

It can be divided in two parts, 1929 and 6072, that added together give a triangular number (8001 = T₁₂₆).

The spelling of 19296072 in words is "nineteen million, two hundred ninety-six thousand, seventy-two".