31407072 has 48 divisors (see below), whose sum is σ = 82736640. Its totient is φ = 10431872.

The previous prime is 31407053. The next prime is 31407073. The reversal of 31407072 is 27070413.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×31407072² = 1972808343226368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31407073) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 45643 + ... + 46325.

It is an arithmetic number, because the mean of its divisors is an integer number (1723680).

Almost surely, 2^31407072 is an apocalyptic number.

31407072 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

31407072 is an abundant number, since it is smaller than the sum of its proper divisors (51329568).

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

31407072 is a wasteful number, since it uses less digits than its factorization.

31407072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1175 (or 1167 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 24.

The square root of 31407072 is about 5604.2012811818. The cubic root of 31407072 is about 315.5071096103.

Adding to 31407072 its reverse (27070413), we get a palindrome (58477485).

The spelling of 31407072 in words is "thirty-one million, four hundred seven thousand, seventy-two".