76431672 has 48 divisors (see below), whose sum is σ = 208923000. Its totient is φ = 25240896.

The previous prime is 76431659. The next prime is 76431673. The reversal of 76431672 is 27613467.

76431672 is a `hidden beast` number, since 7 + 643 + 1 + 6 + 7 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76431673) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2979 + ... + 12717.

Almost surely, 2^76431672 is an apocalyptic number.

76431672 is a gapful number since it is divisible by the number (72) 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 76431672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104461500).

76431672 is an abundant number, since it is smaller than the sum of its proper divisors (132491328).

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

76431672 is a wasteful number, since it uses less digits than its factorization.

76431672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9860 (or 9853 counting only the distinct ones).

The product of its digits is 42336, while the sum is 36.

The square root of 76431672 is about 8742.5209179046. The cubic root of 76431672 is about 424.3828125706.

The spelling of 76431672 in words is "seventy-six million, four hundred thirty-one thousand, six hundred seventy-two".