1000737072 has 40 divisors (see below), whose sum is σ = 2872487280. Its totient is φ = 333578880.

The previous prime is 1000737053. The next prime is 1000737083. The reversal of 1000737072 is 2707370001.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1157829 + ... + 1158692.

It is an arithmetic number, because the mean of its divisors is an integer number (71812182).

Almost surely, 2^1000737072 is an apocalyptic number.

1000737072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1000737072 is an abundant number, since it is smaller than the sum of its proper divisors (1871750208).

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

1000737072 is a wasteful number, since it uses less digits than its factorization.

1000737072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2316538 (or 2316526 counting only the distinct ones).

The product of its (nonzero) digits is 2058, while the sum is 27.

The square root of 1000737072 is about 31634.4285865890. The cubic root of 1000737072 is about 1000.2456303275.

The spelling of 1000737072 in words is "one billion, seven hundred thirty-seven thousand, seventy-two".