735273720720 has 2880 divisors, whose sum is σ = 3556572364800. Its totient is φ = 132478156800.

The previous prime is 735273720691. The next prime is 735273720737. The reversal of 735273720720 is 27027372537.

735273720720 is a `hidden beast` number, since 7 + 3 + 527 + 37 + 20 + 72 + 0 = 666.

735273720720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 8261502436 + ... + 8261502524.

It is an arithmetic number, because the mean of its divisors is an integer number (1234920960).

Almost surely, 2^735273720720 is an apocalyptic number.

735273720720 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 735273720720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1778286182400).

735273720720 is an abundant number, since it is smaller than the sum of its proper divisors (2821298644080).

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

735273720720 is a wasteful number, since it uses less digits than its factorization.

735273720720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 864360, while the sum is 45.

The spelling of 735273720720 in words is "seven hundred thirty-five billion, two hundred seventy-three million, seven hundred twenty thousand, seven hundred twenty".