718072320 has 480 divisors, whose sum is σ = 2843710848. Its totient is φ = 151289856.

The previous prime is 718072307. The next prime is 718072337. The reversal of 718072320 is 23270817.

718072320 = T₃₃₇ + T₃₃₈ + ... + T₁₆₃₁.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19407342 + ... + 19407378.

Almost surely, 2^718072320 is an apocalyptic number.

718072320 is a gapful number since it is divisible by the number (70) 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 718072320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1421855424).

718072320 is an abundant number, since it is smaller than the sum of its proper divisors (2125638528).

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

718072320 is a wasteful number, since it uses less digits than its factorization.

718072320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 30.

The square root of 718072320 is about 26796.8714591834. The cubic root of 718072320 is about 895.4803534446.

The spelling of 718072320 in words is "seven hundred eighteen million, seventy-two thousand, three hundred twenty".