4819320072 has 384 divisors, whose sum is σ = 16710624000. Its totient is φ = 1259642880.

The previous prime is 4819320049. The next prime is 4819320083. The reversal of 4819320072 is 2700239184.

4819320072 is a `hidden beast` number, since 481 + 93 + 20 + 0 + 72 = 666.

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 95 ways as a sum of consecutive naturals, for example, 17915554 + ... + 17915822.

It is an arithmetic number, because the mean of its divisors is an integer number (43517250).

Almost surely, 2^4819320072 is an apocalyptic number.

4819320072 is a gapful number since it is divisible by the number (42) 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 4819320072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8355312000).

4819320072 is an abundant number, since it is smaller than the sum of its proper divisors (11891303928).

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

4819320072 is a wasteful number, since it uses less digits than its factorization.

4819320072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 4819320072 is about 69421.3228914575. The cubic root of 4819320072 is about 1689.1255202975.

It can be divided in two parts, 48193 and 20072, that added together give a triangular number (68265 = T₃₆₉).

The spelling of 4819320072 in words is "four billion, eight hundred nineteen million, three hundred twenty thousand, seventy-two".