1076972000 has 192 divisors, whose sum is σ = 2889432000. Its totient is φ = 392140800.

The previous prime is 1076971999. The next prime is 1076972021. The reversal of 1076972000 is 2796701.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

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, 7227926 + ... + 7228074.

It is an arithmetic number, because the mean of its divisors is an integer number (15049125).

Almost surely, 2^1076972000 is an apocalyptic number.

1076972000 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 1076972000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1444716000).

1076972000 is an abundant number, since it is smaller than the sum of its proper divisors (1812460000).

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

1076972000 is a wasteful number, since it uses less digits than its factorization.

1076972000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 5292, while the sum is 32.

The square root of 1076972000 is about 32817.2515607264. The cubic root of 1076972000 is about 1025.0258173152.

The spelling of 1076972000 in words is "one billion, seventy-six million, nine hundred seventy-two thousand".