72994410 has 96 divisors (see below), whose sum is σ = 200154240. Its totient is φ = 18420864.

The previous prime is 72994403. The next prime is 72994459. The reversal of 72994410 is 1449927.

72994410 = T₁₄₀ + T₁₄₁ + ... + T₇₆₀.

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, 370432 + ... + 370628.

It is an arithmetic number, because the mean of its divisors is an integer number (2084940).

Almost surely, 2^72994410 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72994410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100077120).

72994410 is an abundant number, since it is smaller than the sum of its proper divisors (127159830).

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

72994410 is a wasteful number, since it uses less digits than its factorization.

72994410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 72994410 is about 8543.6766090484. The cubic root of 72994410 is about 417.9232515548.

The spelling of 72994410 in words is "seventy-two million, nine hundred ninety-four thousand, four hundred ten".