714972720 has 240 divisors, whose sum is σ = 2813177088. Its totient is φ = 148538880.

The previous prime is 714972697. The next prime is 714972721. The reversal of 714972720 is 27279417.

714972720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×714972720² = 1022371980688396800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (714972721) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 126597 + ... + 132123.

Almost surely, 2^714972720 is an apocalyptic number.

714972720 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 714972720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1406588544).

714972720 is an abundant number, since it is smaller than the sum of its proper divisors (2098204368).

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

714972720 is a wasteful number, since it uses less digits than its factorization.

714972720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5568 (or 5555 counting only the distinct ones).

The product of its (nonzero) digits is 49392, while the sum is 39.

The square root of 714972720 is about 26738.9738022984. The cubic root of 714972720 is about 894.1900311219.

The spelling of 714972720 in words is "seven hundred fourteen million, nine hundred seventy-two thousand, seven hundred twenty".