1072407240 has 192 divisors, whose sum is σ = 3636360000. Its totient is φ = 273756672.

The previous prime is 1072407239. The next prime is 1072407257. The reversal of 1072407240 is 427042701.

It is a happy number.

1072407240 is a `hidden beast` number, since 10 + 7 + 2 + 407 + 240 = 666.

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, 1450791 + ... + 1451529.

It is an arithmetic number, because the mean of its divisors is an integer number (18939375).

Almost surely, 2^1072407240 is an apocalyptic number.

1072407240 is a gapful number since it is divisible by the number (10) 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 1072407240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1818180000).

1072407240 is an abundant number, since it is smaller than the sum of its proper divisors (2563952760).

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

1072407240 is a wasteful number, since it uses less digits than its factorization.

1072407240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 924 (or 917 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 27.

The square root of 1072407240 is about 32747.6295325326. The cubic root of 1072407240 is about 1023.5755712786.

Adding to 1072407240 its reverse (427042701), we get a palindrome (1499449941).

The spelling of 1072407240 in words is "one billion, seventy-two million, four hundred seven thousand, two hundred forty".