712220040 has 320 divisors, whose sum is σ = 2826869760. Its totient is φ = 157386240.

The previous prime is 712220029. The next prime is 712220053. The reversal of 712220040 is 40022217.

712220040 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 (18).

It is a junction number, because it is equal to n+sod(n) for n = 712219995 and 712220022.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 702574 + ... + 703586.

It is an arithmetic number, because the mean of its divisors is an integer number (8833968).

Almost surely, 2^712220040 is an apocalyptic number.

712220040 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 712220040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1413434880).

712220040 is an abundant number, since it is smaller than the sum of its proper divisors (2114649720).

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

712220040 is a wasteful number, since it uses less digits than its factorization.

712220040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1074 (or 1061 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 712220040 is about 26687.4509835615. The cubic root of 712220040 is about 893.0409967690.

Adding to 712220040 its reverse (40022217), we get a palindrome (752242257).

The spelling of 712220040 in words is "seven hundred twelve million, two hundred twenty thousand, forty".