1072026900 has 540 divisors, whose sum is σ = 4208576988. Its totient is φ = 235146240.

The previous prime is 1072026899. The next prime is 1072026997. The reversal of 1072026900 is 96202701.

It can be written as a sum of positive squares in 6 ways, for example, as 15256836 + 1056770064 = 3906^2 + 32508^2 .

It is a tau number, because it is divible by the number of its divisors (540).

It is a super-2 number, since 2×1072026900² = 2298483348647220000, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 14685264 + ... + 14685336.

Almost surely, 2^1072026900 is an apocalyptic number.

1072026900 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 1072026900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2104288494).

1072026900 is an abundant number, since it is smaller than the sum of its proper divisors (3136550088).

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

1072026900 is a wasteful number, since it uses less digits than its factorization.

1072026900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 1072026900 is about 32741.8218796694. The cubic root of 1072026900 is about 1023.4545498510.

The spelling of 1072026900 in words is "one billion, seventy-two million, twenty-six thousand, nine hundred".