1913772000 has 192 divisors, whose sum is σ = 7165476864. Its totient is φ = 437414400.

The previous prime is 1913771999. The next prime is 1913772001. The reversal of 1913772000 is 2773191.

It is an interprime number because it is at equal distance from previous prime (1913771999) and next prime (1913772001).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1913772001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 72609 + ... + 95391.

It is an arithmetic number, because the mean of its divisors is an integer number (37320192).

Almost surely, 2^1913772000 is an apocalyptic number.

1913772000 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 1913772000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3582738432).

1913772000 is an abundant number, since it is smaller than the sum of its proper divisors (5251704864).

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

1913772000 is a wasteful number, since it uses less digits than its factorization.

1913772000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22818 (or 22800 counting only the distinct ones).

The product of its (nonzero) digits is 2646, while the sum is 30.

The square root of 1913772000 is about 43746.6798740202. The cubic root of 1913772000 is about 1241.5476686303.

The spelling of 1913772000 in words is "one billion, nine hundred thirteen million, seven hundred seventy-two thousand".