1402752672 has 144 divisors (see below), whose sum is σ = 4216212000. Its totient is φ = 441165312.

The previous prime is 1402752667. The next prime is 1402752709. The reversal of 1402752672 is 2762572041.

It is a happy number.

1402752672 is a `hidden beast` number, since 1 + 40 + 27 + 526 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 2128279 + ... + 2128937.

It is an arithmetic number, because the mean of its divisors is an integer number (29279250).

Almost surely, 2^1402752672 is an apocalyptic number.

1402752672 is a gapful number since it is divisible by the number (12) 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 1402752672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2108106000).

1402752672 is an abundant number, since it is smaller than the sum of its proper divisors (2813459328).

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

1402752672 is a wasteful number, since it uses less digits than its factorization.

1402752672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1083 (or 1072 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 1402752672 is about 37453.3399311730. The cubic root of 1402752672 is about 1119.4216486783.

The spelling of 1402752672 in words is "one billion, four hundred two million, seven hundred fifty-two thousand, six hundred seventy-two".