1072319424 has 168 divisors, whose sum is σ = 3156319824. Its totient is φ = 321024000.

The previous prime is 1072319401. The next prime is 1072319431. The reversal of 1072319424 is 4249132701.

It is a super-2 number, since 2×1072319424² = 2299737894175383552, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2346204 + ... + 2346660.

It is an arithmetic number, because the mean of its divisors is an integer number (18787618).

Almost surely, 2^1072319424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1072319424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1578159912).

1072319424 is an abundant number, since it is smaller than the sum of its proper divisors (2084000400).

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

1072319424 is a wasteful number, since it uses less digits than its factorization.

1072319424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 595 (or 574 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 1072319424 is about 32746.2887057450. The cubic root of 1072319424 is about 1023.5476314057.

The spelling of 1072319424 in words is "one billion, seventy-two million, three hundred nineteen thousand, four hundred twenty-four".