72801629 has 4 divisors (see below), whose sum is σ = 75312060. Its totient is φ = 70291200.

The previous prime is 72801613. The next prime is 72801643. The reversal of 72801629 is 92610827.

It is a happy number.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 92610827 = 239 ⋅387493.

It can be written as a sum of positive squares in 2 ways, for example, as 30525625 + 42276004 = 5525^2 + 6502^2 .

It is a cyclic number.

It is not a de Polignac number, because 72801629 - 2⁴ = 72801613 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72801689) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1255172 + ... + 1255229.

It is an arithmetic number, because the mean of its divisors is an integer number (18828015).

Almost surely, 2^72801629 is an apocalyptic number.

It is an amenable number.

72801629 is a deficient number, since it is larger than the sum of its proper divisors (2510431).

72801629 is a wasteful number, since it uses less digits than its factorization.

72801629 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2510430.

The product of its (nonzero) digits is 12096, while the sum is 35.

The square root of 72801629 is about 8532.3870634190. The cubic root of 72801629 is about 417.5550101419. Note that the first 3 decimals are identical.

The spelling of 72801629 in words is "seventy-two million, eight hundred one thousand, six hundred twenty-nine".