1072742400 has 360 divisors, whose sum is σ = 3981845840. Its totient is φ = 283115520.

The previous prime is 1072742399. The next prime is 1072742423. The reversal of 1072742400 is 42472701.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11059152 + ... + 11059248.

Almost surely, 2^1072742400 is an apocalyptic number.

1072742400 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 1072742400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1990922920).

1072742400 is an abundant number, since it is smaller than the sum of its proper divisors (2909103440).

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

1072742400 is an frugal number, since it uses more digits than its factorization.

1072742400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 27.

The square root of 1072742400 is about 32752.7464497254. The cubic root of 1072742400 is about 1023.6821930428.

The spelling of 1072742400 in words is "one billion, seventy-two million, seven hundred forty-two thousand, four hundred".