72762630 has 32 divisors (see below), whose sum is σ = 177497568. Its totient is φ = 19084800.

The previous prime is 72762629. The next prime is 72762631. The reversal of 72762630 is 3626727.

It is an interprime number because it is at equal distance from previous prime (72762629) and next prime (72762631).

It is a junction number, because it is equal to n+sod(n) for n = 72762591 and 72762600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72762631) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18051 + ... + 21710.

It is an arithmetic number, because the mean of its divisors is an integer number (5546799).

Almost surely, 2^72762630 is an apocalyptic number.

72762630 is an abundant number, since it is smaller than the sum of its proper divisors (104734938).

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

72762630 is a wasteful number, since it uses less digits than its factorization.

72762630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39832.

The product of its (nonzero) digits is 21168, while the sum is 33.

The square root of 72762630 is about 8530.1014061968. The cubic root of 72762630 is about 417.4804370099.

The spelling of 72762630 in words is "seventy-two million, seven hundred sixty-two thousand, six hundred thirty".