1072078009744 has 45 divisors (see below), whose sum is σ = 2416343204907. Its totient is φ = 459449579232.

The previous prime is 1072078009727. The next prime is 1072078009799. The reversal of 1072078009744 is 4479008702701.

It is a happy number.

The square root of 1072078009744 is 1035412.

It is a perfect power (a square), and thus also a powerful number.

1072078009744 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1072078009744² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 28973047 + ... + 29010025.

Almost surely, 2^{1072078009744} is an apocalyptic number.

1072078009744 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

1072078009744 is the 1035412-nd square number.

It is an amenable number.

1072078009744 is an abundant number, since it is smaller than the sum of its proper divisors (1344265195163).

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

1072078009744 is an frugal number, since it uses more digits than its factorization.

1072078009744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73980 (or 36988 counting only the distinct ones).

The product of its (nonzero) digits is 790272, while the sum is 49.

Multiplying 1072078009744 by its sum of digits (49), we get a square (52531822477456 = 7247884²).

1072078009744 divided by its sum of digits (49) gives a square (21879143056 = 147916²).

The spelling of 1072078009744 in words is "one trillion, seventy-two billion, seventy-eight million, nine thousand, seven hundred forty-four".