1072217400 has 48 divisors (see below), whose sum is σ = 3323875800. Its totient is φ = 285924480.

The previous prime is 1072217371. The next prime is 1072217407. The reversal of 1072217400 is 47122701.

It is a super-3 number, since 3×1072217400³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1072217407) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 892915 + ... + 894114.

Almost surely, 2^1072217400 is an apocalyptic number.

1072217400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1072217400 is an abundant number, since it is smaller than the sum of its proper divisors (2251658400).

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

1072217400 is a wasteful number, since it uses less digits than its factorization.

1072217400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1787048 (or 1787039 counting only the distinct ones).

The product of its (nonzero) digits is 784, while the sum is 24.

The square root of 1072217400 is about 32744.7308738368. The cubic root of 1072217400 is about 1023.5151691458.

The spelling of 1072217400 in words is "one billion, seventy-two million, two hundred seventeen thousand, four hundred".