72622410 has 96 divisors (see below), whose sum is σ = 204871680. Its totient is φ = 16426368.

The previous prime is 72622397. The next prime is 72622423. The reversal of 72622410 is 1422627.

72622410 = 95² + 96² + ... + 602².

It is an interprime number because it is at equal distance from previous prime (72622397) and next prime (72622423).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 186496 + ... + 186884.

It is an arithmetic number, because the mean of its divisors is an integer number (2134080).

Almost surely, 2^72622410 is an apocalyptic number.

72622410 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 72622410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102435840).

72622410 is an abundant number, since it is smaller than the sum of its proper divisors (132249270).

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

72622410 is a wasteful number, since it uses less digits than its factorization.

72622410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 540 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 72622410 is about 8521.8783140808. The cubic root of 72622410 is about 417.2120906966.

The spelling of 72622410 in words is "seventy-two million, six hundred twenty-two thousand, four hundred ten".