1472996736 has 192 divisors, whose sum is σ = 4499118000. Its totient is φ = 461279232.

The previous prime is 1472996711. The next prime is 1472996741. The reversal of 1472996736 is 6376992741.

1472996736 = 106³ + 107³ + ... + 278³.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3786430 + ... + 3786818.

Almost surely, 2^1472996736 is an apocalyptic number.

1472996736 is a gapful number since it is divisible by the number (16) 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 1472996736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2249559000).

1472996736 is an abundant number, since it is smaller than the sum of its proper divisors (3026121264).

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

1472996736 is a wasteful number, since it uses less digits than its factorization.

1472996736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 601 (or 586 counting only the distinct ones).

The product of its digits is 3429216, while the sum is 54.

The square root of 1472996736 is about 38379.6396022683. The cubic root of 1472996736 is about 1137.8034898613.

The spelling of 1472996736 in words is "one billion, four hundred seventy-two million, nine hundred ninety-six thousand, seven hundred thirty-six".