38072872560 has 80 divisors (see below), whose sum is σ = 118153643040. Its totient is φ = 10141777920.

The previous prime is 38072872547. The next prime is 38072872567. The reversal of 38072872560 is 6527827083.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38072872567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 137580 + ... + 308340.

It is an arithmetic number, because the mean of its divisors is an integer number (1476920538).

Almost surely, 2^38072872560 is an apocalyptic number.

38072872560 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

38072872560 is an abundant number, since it is smaller than the sum of its proper divisors (80080770480).

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

38072872560 is a wasteful number, since it uses less digits than its factorization.

38072872560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171706 (or 171700 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 48.

The spelling of 38072872560 in words is "thirty-eight billion, seventy-two million, eight hundred seventy-two thousand, five hundred sixty".