1403766672 has 160 divisors (see below), whose sum is σ = 4617990144. Its totient is φ = 356812800.

The previous prime is 1403766671. The next prime is 1403766701. The reversal of 1403766672 is 2766673041.

It is a happy number.

1403766672 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (1403766671) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 169672 + ... + 177752.

Almost surely, 2^1403766672 is an apocalyptic number.

1403766672 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 1403766672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2308995072).

1403766672 is an abundant number, since it is smaller than the sum of its proper divisors (3214223472).

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

1403766672 is a wasteful number, since it uses less digits than its factorization.

1403766672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8157 (or 8151 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 42.

The square root of 1403766672 is about 37466.8743291991. The cubic root of 1403766672 is about 1119.6913137395.

The spelling of 1403766672 in words is "one billion, four hundred three million, seven hundred sixty-six thousand, six hundred seventy-two".