7435986072 has 128 divisors (see below), whose sum is σ = 20021644800. Its totient is φ = 2294203392.

The previous prime is 7435986049. The next prime is 7435986083. The reversal of 7435986072 is 2706895347.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7564093 + ... + 7565075.

It is an arithmetic number, because the mean of its divisors is an integer number (156419100).

Almost surely, 2^7435986072 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 7435986072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10010822400).

7435986072 is an abundant number, since it is smaller than the sum of its proper divisors (12585658728).

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

7435986072 is a wasteful number, since it uses less digits than its factorization.

7435986072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1377 (or 1373 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 51.

The square root of 7435986072 is about 86232.1637905486. The cubic root of 7435986072 is about 1951.8488773480.

The spelling of 7435986072 in words is "seven billion, four hundred thirty-five million, nine hundred eighty-six thousand, seventy-two".