76291632 has 150 divisors (see below), whose sum is σ = 232216908. Its totient is φ = 24167808.

The previous prime is 76291619. The next prime is 76291673. The reversal of 76291632 is 23619267.

It is a super-2 number, since 2×76291632² = 11640826226446848, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1774203 + ... + 1774245.

Almost surely, 2^76291632 is an apocalyptic number.

76291632 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 76291632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116108454).

76291632 is an abundant number, since it is smaller than the sum of its proper divisors (155925276).

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

76291632 is a wasteful number, since it uses less digits than its factorization.

76291632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 85 counting only the distinct ones).

The product of its digits is 27216, while the sum is 36.

The square root of 76291632 is about 8734.5081143703. The cubic root of 76291632 is about 424.1234658834.

It can be divided in two parts, 7629 and 1632, that added together give a cube (9261 = 21³).

The spelling of 76291632 in words is "seventy-six million, two hundred ninety-one thousand, six hundred thirty-two".