1540737072 has 160 divisors (see below), whose sum is σ = 5092531200. Its totient is φ = 436879872.

The previous prime is 1540737067. The next prime is 1540737089. The reversal of 1540737072 is 2707370451.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 412429 + ... + 416147.

It is an arithmetic number, because the mean of its divisors is an integer number (31828320).

Almost surely, 2^1540737072 is an apocalyptic number.

1540737072 is a gapful number since it is divisible by the number (12) 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 1540737072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2546265600).

1540737072 is an abundant number, since it is smaller than the sum of its proper divisors (3551794128).

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

1540737072 is a wasteful number, since it uses less digits than its factorization.

1540737072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3880 (or 3868 counting only the distinct ones).

The product of its (nonzero) digits is 41160, while the sum is 36.

The square root of 1540737072 is about 39252.2237841374. The cubic root of 1540737072 is about 1154.9845570544.

The spelling of 1540737072 in words is "one billion, five hundred forty million, seven hundred thirty-seven thousand, seventy-two".