31789407072 has 96 divisors (see below), whose sum is σ = 89981781120. Its totient is φ = 9793889280.

The previous prime is 31789407043. The next prime is 31789407101. The reversal of 31789407072 is 27070498713.

It is an interprime number because it is at equal distance from previous prime (31789407043) and next prime (31789407101).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×31789407072² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 137758 + ... + 287325.

It is an arithmetic number, because the mean of its divisors is an integer number (937310220).

Almost surely, 2^31789407072 is an apocalyptic number.

31789407072 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

31789407072 is an abundant number, since it is smaller than the sum of its proper divisors (58192374048).

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

31789407072 is a wasteful number, since it uses less digits than its factorization.

31789407072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425156 (or 425148 counting only the distinct ones).

The product of its (nonzero) digits is 592704, while the sum is 48.

The spelling of 31789407072 in words is "thirty-one billion, seven hundred eighty-nine million, four hundred seven thousand, seventy-two".