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72192021 = 31141229233
BaseRepresentation
bin1000100110110…
…01000000010101
312000211201211120
410103121000111
5121440121041
611055154153
71534423236
oct423310025
9160751746
1072192021
1137828a30
1220215959
1311c58495
14983308d
156510366
hex44d9015

72192021 has 32 divisors (see below), whose sum is σ = 108501120. Its totient is φ = 42316800.

The previous prime is 72192011. The next prime is 72192023. The reversal of 72192021 is 12029127.

It is not a de Polignac number, because 72192021 - 26 = 72191957 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 72191982 and 72192000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72192023) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 309721 + ... + 309953.

It is an arithmetic number, because the mean of its divisors is an integer number (3390660).

It is a Poulet number, since it divides 272192020-1.

Almost surely, 272192021 is an apocalyptic number.

It is an amenable number.

72192021 is a deficient number, since it is larger than the sum of its proper divisors (36309099).

72192021 is a wasteful number, since it uses less digits than its factorization.

72192021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 517.

The product of its (nonzero) digits is 504, while the sum is 24.

The square root of 72192021 is about 8496.5887860953. The cubic root of 72192021 is about 416.3862694459.

The spelling of 72192021 in words is "seventy-two million, one hundred ninety-two thousand, twenty-one".

Divisors: 1 3 11 33 41 123 229 233 451 687 699 1353 2519 2563 7557 7689 9389 9553 28167 28659 53357 103279 105083 160071 309837 315249 586927 1760781 2187637 6562911 24064007 72192021