1072893500 has 48 divisors (see below), whose sum is σ = 2677950912. Its totient is φ = 367848000.

The previous prime is 1072893499. The next prime is 1072893553. The reversal of 1072893500 is 53982701.

It is a super-2 number, since 2×1072893500² = 2302200924684500000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 149771 + ... + 156770.

It is an arithmetic number, because the mean of its divisors is an integer number (55790644).

Almost surely, 2^1072893500 is an apocalyptic number.

1072893500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1072893500 is an abundant number, since it is smaller than the sum of its proper divisors (1605057412).

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

1072893500 is a wasteful number, since it uses less digits than its factorization.

1072893500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306567 (or 306555 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 35.

The square root of 1072893500 is about 32755.0530452936. The cubic root of 1072893500 is about 1023.7302540118.

The spelling of 1072893500 in words is "one billion, seventy-two million, eight hundred ninety-three thousand, five hundred".