719972352 has 288 divisors, whose sum is σ = 2345747040. Its totient is φ = 210862080.

The previous prime is 719972329. The next prime is 719972413. The reversal of 719972352 is 253279917.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 719972298 and 719972307.

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, 10745823 + ... + 10745889.

It is an arithmetic number, because the mean of its divisors is an integer number (8144955).

Almost surely, 2^719972352 is an apocalyptic number.

719972352 is a gapful number since it is divisible by the number (72) 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 719972352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1172873520).

719972352 is an abundant number, since it is smaller than the sum of its proper divisors (1625774688).

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

719972352 is a wasteful number, since it uses less digits than its factorization.

719972352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 136 counting only the distinct ones).

The product of its digits is 238140, while the sum is 45.

The square root of 719972352 is about 26832.3005349895. The cubic root of 719972352 is about 896.2694767684.

The spelling of 719972352 in words is "seven hundred nineteen million, nine hundred seventy-two thousand, three hundred fifty-two".